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Selina solutions for Concise Mathematics [English] Class 8 ICSE chapter 12 - Identities [Latest edition]

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Chapters

    1: Rational Numbers

    2: Exponents

    3: Squares and Square Root

    4: Cubes and Cube Roots

    5: Playing with Numbers

    6: Sets

    7: Percent and Percentage

    8: Profit, Loss and Discount

    9: Interest

    10: Direct and Inverse Variations

    11: Algebraic Expressions

▶ 12: Identities

    13: Factorisation

    14: Linear Equations in one Variable

    15: Linear Inequations

    16: Understanding Shapes

    17: Special Types of Quadrilaterals

    18: Constructions

    19: Representing 3-D in 2-D

    20: Area of a Trapezium and a Polygon

    21: Surface Area, Volume and Capacity

    22: Data Handling

    23: Probability

Selina solutions for Concise Mathematics [English] Class 8 ICSE chapter 12 - Identities - Shaalaa.com

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Solutions for Chapter 12: Identities

Below listed, you can find solutions for Chapter 12 of CISCE Selina for Concise Mathematics [English] Class 8 ICSE.

Exercise 12 (A)Exercise 12 (B)Exercise 12 (C)Exercise 12 (D)

Exercise 12 (A) [Page 150]

Selina solutions for Concise Mathematics [English] Class 8 ICSE 12 Identities Exercise 12 (A) [Page 150]

Exercise 12 (A) | Q 1.1 | Page 150

Use direct method to evaluate the following products :
(x + 8)(x + 3)

Exercise 12 (A) | Q 1.2 | Page 150

Use the direct method to evaluate the following products :
(y + 5)(y – 3)

Exercise 12 (A) | Q 1.3 | Page 150

Use the direct method to evaluate the following products :
(a – 8) (a + 2)

Exercise 12 (A) | Q 1.4 | Page 150

Use the direct method to evaluate the following products :
(b – 3) (b – 5)

Exercise 12 (A) | Q 1.5 | Page 150

Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)

Exercise 12 (A) | Q 1.6 | Page 150

Use the direct method to evaluate the following products :
(5a + 16) (3a – 7)

Exercise 12 (A) | Q 1.7 | Page 150

Use the direct method to evaluate the following products :
(8 – b) (3 + b)

Exercise 12 (A) | Q 2.01 | Page 150

Use the direct method to evaluate :
(x+1) (x−1)

Exercise 12 (A) | Q 2.02 | Page 150

Use the direct method to evaluate :
(2+a) (2−a)

Exercise 12 (A) | Q 2.03 | Page 150

Use the direct method to evaluate :
(3b−1) (3b+1)

Exercise 12 (A) | Q 2.04 | Page 150

Use the direct method to evaluate :
(4+5x) (4−5x)

Exercise 12 (A) | Q 2.05 | Page 150

Use the direct method to evaluate :
(2a+3) (2a−3)

Exercise 12 (A) | Q 2.06 | Page 150

Use the direct method to evaluate :
(xy+4) (xy−4)

Exercise 12 (A) | Q 2.07 | Page 150

Use the direct method to evaluate :
(ab+x²) (ab−x²)

Exercise 12 (A) | Q 2.08 | Page 150

Use the direct method to evaluate :
(3x²+5y²) (3x²−5y²)

Exercise 12 (A) | Q 2.09 | Page 150

Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`

Exercise 12 (A) | Q 2.1 | Page 150

Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`

Exercise 12 (A) | Q 2.11 | Page 150

Use the direct method to evaluate :
(0.5−2a) (0.5+2a)

Exercise 12 (A) | Q 2.12 | Page 150

Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`

Exercise 12 (A) | Q 3.1 | Page 150

Evaluate : (a+1) (a-1) (a²+1)

Exercise 12 (A) | Q 3.2 | Page 150

Evaluate : (a+b) (a−b) (a²+b²)

Exercise 12 (A) | Q 3.3 | Page 150

Evaluate : (2a−b) (2a+b) (4a²+b²)

Exercise 12 (A) | Q 3.4 | Page 150

Evaluate : (3−2x) (3+2x) (9+4x²)

Exercise 12 (A) | Q 3.5 | Page 150

Evaluate : (3x−4y) (3x+4y) (9x²+16y²)

Exercise 12 (A) | Q 4.1 | Page 150

Use the product (a + b) (a – b) = a² – b² to evaluate:
21 x 19

Exercise 12 (A) | Q 4.2 | Page 150

Use the product (a + b) (a – b) = a² – b² to evaluate:
33 x 27

Exercise 12 (A) | Q 4.3 | Page 150

Use the product (a + b) (a – b) = a² – b² to evaluate:
103 x 97

Exercise 12 (A) | Q 4.4 | Page 150

Use the product (a + b) (a – b) = a² – b² to evaluate:
9.8 x 10.2

Exercise 12 (A) | Q 4.5 | Page 150

Use the product (a + b) (a – b) = a² – b² to evaluate:
7.7 x 8.3

Exercise 12 (A) | Q 4.6 | Page 150

Use the product (a + b) (a – b) = a² – b² to evaluate:
4.6 x 5.4

Exercise 12 (A) | Q 5.01 | Page 150

Evaluate : (6 – xy) (6 + xy)

Exercise 12 (A) | Q 5.02 | Page 150

Evaluate : `(7"x"+2/3"y")(7"x"-2/3"y")`

Exercise 12 (A) | Q 5.03 | Page 150

Evaluate : `("a"/(2"b")+(2"b")/"a")("a"/(2"b")-(2"b")/"a")`

Exercise 12 (A) | Q 5.04 | Page 150

Evaluate : `(3"x"-1/(2"y"))(3"x"+1/(2"y"))`

Exercise 12 (A) | Q 5.05 | Page 150

Evaluate : (2a +3) (2a − 3) (4a² + 9)

Exercise 12 (A) | Q 5.06 | Page 150

Evaluate : (a + bc) (a − bc) (a² + b²c²)

Exercise 12 (A) | Q 5.07 | Page 150

Evaluate : (5x + 8y) (3x + 5y)

Exercise 12 (A) | Q 5.08 | Page 150

Evaluate : (7x + 15y) (5x − 4y)

Exercise 12 (A) | Q 5.09 | Page 150

Evaluate : (2a − 3b) (3a + 4b)

Exercise 12 (A) | Q 5.1 | Page 150

Evaluate : (9a − 7b) (3a − b)

Exercise 12 (B) [Page 152]

Selina solutions for Concise Mathematics [English] Class 8 ICSE 12 Identities Exercise 12 (B) [Page 152]

Exercise 12 (B) | Q 1.1 | Page 152

Expand : (2a + b)²

Exercise 12 (B) | Q 1.2 | Page 152

Expand : (a – 2b)²

Exercise 12 (B) | Q 1.3 | Page 152

Expand: `("a"+1/(2"a"))^2`

Exercise 12 (B) | Q 1.4 | Page 152

Expand : `(2"a"-1/"a")^2`

Exercise 12 (B) | Q 1.5 | Page 152

Expand : (a+b−c)²

Exercise 12 (B) | Q 1.6 | Page 152

Expand : (a−b+c)²

Exercise 12 (B) | Q 1.7 | Page 152

Expand : `(3"x"+1/(3"x"))^2`

Exercise 12 (B) | Q 1.8 | Page 152

Expand : `(2"x"-1/(2"x"))^2`

Exercise 12 (B) | Q 2.01 | Page 152

Find the square of x+ 3y

Exercise 12 (B) | Q 2.02 | Page 152

Find the square of 2x − 5y

Exercise 12 (B) | Q 2.03 | Page 152

Find the square of `"a"+1/(5"a")`

Exercise 12 (B) | Q 2.04 | Page 152

Find the square of `2"a"-1/"a"`

Exercise 12 (B) | Q 2.05 | Page 152

Find the square of x − 2y +1

Exercise 12 (B) | Q 2.06 | Page 152

Find the square of 3a − 2b − 5c

Exercise 12 (B) | Q 2.07 | Page 152

Find the square of `2"x"+1/"x"+1`

Exercise 12 (B) | Q 2.08 | Page 152

Find the square of `5-x+2/x`

Exercise 12 (B) | Q 2.09 | Page 152

Find the square of 2x − 3y + z

Exercise 12 (B) | Q 2.1 | Page 152

Find the square of `"x"+1/"x"-1`

Exercise 12 (B) | Q 3.1 | Page 152

Evaluate using the expansion of (a + b)² or (a – b)² :
(208)²

Exercise 12 (B) | Q 3.2 | Page 152

Evaluate using the expansion of (a + b)² or (a – b)² :
(92)²

Exercise 12 (B) | Q 3.3 | Page 152

Evaluate using the expansion of (a + b)² or (a – b)² :
(415)²

Exercise 12 (B) | Q 3.4 | Page 152

Evaluate using the expansion of (a + b)² or (a – b)²:
(188)²

Exercise 12 (B) | Q 3.5 | Page 152

Evaluate using the expansion of (a + b)² or (a – b)²:
(9.4)²

Exercise 12 (B) | Q 3.6 | Page 152

Evaluate using the expansion of (a + b)² or (a – b)²:
(20.7)²

Exercise 12 (B) | Q 4.1 | Page 152

Expand : (2a + b)³

Exercise 12 (B) | Q 4.2 | Page 152

Expand : (a − 2b)³

Exercise 12 (B) | Q 4.3 | Page 152

Expand : (3x − 2y)³

Exercise 12 (B) | Q 4.4 | Page 152

Expand : (x + 5y)³

Exercise 12 (B) | Q 4.5 | Page 152

Expand : `("a"+1/"a")^3`

Exercise 12 (B) | Q 4.6 | Page 152

Expand : `(2"a"-1/(2"a"))^3`

Exercise 12 (B) | Q 5.1 | Page 152

Find the cube of: a + 2

Exercise 12 (B) | Q 5.2 | Page 152

Find the cube of: 2a − 1

Exercise 12 (B) | Q 5.3 | Page 152

Find the cube of: 2a + 3b

Exercise 12 (B) | Q 5.4 | Page 152

Find the cube of: 3b − 2a

Exercise 12 (B) | Q 5.5 | Page 152

Find the cube of: `2"x"+1/"x"`

Exercise 12 (B) | Q 5.6 | Page 152

Find the cube of: `"x"-1/2`

Exercise 12 (C) [Pages 154 - 155]

Selina solutions for Concise Mathematics [English] Class 8 ICSE 12 Identities Exercise 12 (C) [Pages 154 - 155]

Exercise 12 (C) | Q 1 | Page 154

If a+b=5 and ab = 6, find a² + b²

Exercise 12 (C) | Q 2 | Page 154

If a – b = 6 and ab = 16, find a² + b²

Exercise 12 (C) | Q 3.1 | Page 154

If a² + b² = 29 and ab = 10, find : a + b

Exercise 12 (C) | Q 3.2 | Page 154

If a² + b² = 29 and ab = 10, find : a − b

Exercise 12 (C) | Q 4.1 | Page 154

If a² + b²= 10 and ab = 3; find : a – b

Exercise 12 (C) | Q 4.2 | Page 154

If a² + b²= 10 and ab = 3; find : a + b

Exercise 12 (C) | Q 5 | Page 154

If `"a" + 1/"a"=3`, find `"a"^2+1/"a"^2`

Exercise 12 (C) | Q 6 | Page 154

If `"a" - 1/"a"=4`, find : `"a"^2+1/"a"^2`

Exercise 12 (C) | Q 7 | Page 154

If `"a"^2+ 1/"a"^2=23`, find : `"a" +1/"a"`

Exercise 12 (C) | Q 8 | Page 154

If `"a"^2+ 1/"a"^2=11`, find : `"a" -1/"a"`

Exercise 12 (C) | Q 9 | Page 155

If a + b + c = 10 and a² + b² + c² = 38, find : ab + bc + ca

Exercise 12 (C) | Q 10 | Page 155

Find: a² + b² + c², if a + b + c = 9 and ab + bc + ca = 24

Exercise 12 (C) | Q 11 | Page 155

Find : a + b + c, if a² + b² + c² = 83 and ab + bc + ca = 71.

Exercise 12 (C) | Q 12 | Page 155

If a + b = 6 and ab=8, find : a³ + b³.

Exercise 12 (C) | Q 13 | Page 155

If a – b = 3 and ab = 10, find : a³ – b³.

Exercise 12 (C) | Q 14 | Page 155

Find : `"a"^3+1/"a"^3`, if `"a" +1/"a"=5`.

Exercise 12 (C) | Q 15 | Page 155

Find : `"a"^3-1/"a"^3`, if `"a" -1/"a"=4`.

Exercise 12 (C) | Q 16.1 | Page 155

If `2"x"-1/(2"x")=4`, find : `4"x"^2+1/(4"x"^2)`

Exercise 12 (C) | Q 16.2 | Page 155

If `2"x"-1/(2"x")=4`, find : `8"x"^3-1/(8"x"^3)`

Exercise 12 (C) | Q 17.1 | Page 155

If `3"x"+1/(3"x")=3`, find : `9"x"^2+1/(9"x"^2)`

Exercise 12 (C) | Q 17.2 | Page 155

If `3"x"+1/(3"x")=3`, find : `27"x"^3+1/(27"x"^3)`

Exercise 12 (C) | Q 18 | Page 155

The sum of the squares of two numbers is 13 and their product is 6. Find:
(i) the sum of the two numbers.
(ii) the difference between them.

Exercise 12 (D) [Page 155]

Selina solutions for Concise Mathematics [English] Class 8 ICSE 12 Identities Exercise 12 (D) [Page 155]

Exercise 12 (D) | Q 1.1 | Page 155

Evaluate: `(3"x"+1/2)(2"x"+1/3)`

Exercise 12 (D) | Q 1.2 | Page 155

Evaluate: (2a + 0.5) (7a − 0.3)

Exercise 12 (D) | Q 1.3 | Page 155

Evaluate: (9 − y) (7 + y)

Exercise 12 (D) | Q 1.4 | Page 155

Evaluate: (2 − z) (15 − z)

Exercise 12 (D) | Q 1.5 | Page 155

Evaluate: (a² + 5) (a² − 3)

Exercise 12 (D) | Q 1.6 | Page 155

Evaluate: (4 − ab) (8 + ab)

Exercise 12 (D) | Q 1.7 | Page 155

Evaluate: (5xy − 7) (7xy + 9)

Exercise 12 (D) | Q 1.8 | Page 155

Evaluate: (3a² − 4b²) (8a² − 3b²)

Exercise 12 (D) | Q 2.01 | Page 155

Evaluate: `(2"x"-3/5)(2"x"+3/5)`

Exercise 12 (D) | Q 2.02 | Page 155

Evaluate: `(4/7"a"+3/4"b")(4/7"a"-3/4"b")`

Exercise 12 (D) | Q 2.03 | Page 155

Evaluate: (6 − 5xy) (6 + 5xy)

Exercise 12 (D) | Q 2.04 | Page 155

Evaluate: `(2"a"+1/"2a")(2"a"-1/"2a")`

Exercise 12 (D) | Q 2.05 | Page 155

Evaluate: (4x² − 5y²) (4x² + 5y²)

Exercise 12 (D) | Q 2.06 | Page 155

Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)

Exercise 12 (D) | Q 2.07 | Page 155

Evaluate: (m + 3) (m − 3) (m² + 9)

Exercise 12 (D) | Q 2.08 | Page 155

Evaluate: (3x + 4y) (3x − 4y) (9x² + 16y²)

Exercise 12 (D) | Q 2.09 | Page 155

Evaluate: (a + bc) (a − bc) (a² + b²c²)

Exercise 12 (D) | Q 2.1 | Page 155

Evaluate: 203 × 197

Exercise 12 (D) | Q 2.11 | Page 155

Evaluate: 20.8 × 19.2

Exercise 12 (D) | Q 3.1 | Page 155

Find the square of `3"x"+2/"y"`

Exercise 12 (D) | Q 3.2 | Page 155

Find the square of `"5a"/"6b"-"6b"/"5a"`

Exercise 12 (D) | Q 3.3 | Page 155

Find the square of `2"m"^2-2/3"n"^2`

Exercise 12 (D) | Q 3.4 | Page 155

Find the square of `5"x"+1/(5"x")`

Exercise 12 (D) | Q 3.5 | Page 155

Find the square of `8"x"+3/2"y"`

Exercise 12 (D) | Q 3.6 | Page 155

Find the square of 607

Exercise 12 (D) | Q 3.7 | Page 155

Find the square of 391

Exercise 12 (D) | Q 3.8 | Page 155

Find the square of 9.7

Exercise 12 (D) | Q 4.1 | Page 155

If `"a" +1/"a"=2`, find : `"a"^2+1/"a"^2`

Exercise 12 (D) | Q 4.2 | Page 155

If `"a" +1/"a"=2`, find: `"a"^4+1/"a"^4`

Exercise 12 (D) | Q 5.1 | Page 155

If `"m" -1/"m"=5`, find : `"m"^2+1/"m"^2`

Exercise 12 (D) | Q 5.2 | Page 155

If `"m" -1/"m"=5`, find: `"m"^4+1/"m"^4`

Exercise 12 (D) | Q 5.3 | Page 155

If `"m" -1/"m"=5`, find: `"m"^2-1/"m"^2`

Exercise 12 (D) | Q 6.1 | Page 155

If a² + b² = 41 and ab = 4, find : a – b

Exercise 12 (D) | Q 6.2 | Page 155

If a² + b² = 41 and ab = 4, find : a + b

Exercise 12 (D) | Q 7.1 | Page 155

If `2"a"+1/(2"a")=8`, find : `4"a"^2+1/(4"a"^2)`

Exercise 12 (D) | Q 7.2 | Page 155

If `2"a"+1/(2"a")=8`, find : `16"a"^4+1/(16"a"^4)`

Exercise 12 (D) | Q 8.1 | Page 155

If `3"x"-1/(3"x")=5`, find : `9"x"^2+1/(9"x"^2)`

Exercise 12 (D) | Q 8.2 | Page 155

If `3"x"-1/(3"x")=5`, find : `81"x"^4+1/(81"x"^4)`

Exercise 12 (D) | Q 9.1 | Page 155

Expand : (3x – 4y + 5z)²

Exercise 12 (D) | Q 9.2 | Page 155

Expand : (2a – 5b – 4c)²

Exercise 12 (D) | Q 9.3 | Page 155

Expand : (5x + 3y)³

Exercise 12 (D) | Q 9.4 | Page 155

Expand : (6a – 7b)³

Exercise 12 (D) | Q 10 | Page 155

If a + b + c = 9 and ab + bc + ca = 15, find: a² + b² + c².

Exercise 12 (D) | Q 11 | Page 155

If a + b + c = 11 and a² + b² + c² = 81, find : ab + bc + ca.

Exercise 12 (D) | Q 12 | Page 155

If 3x – 4y = 5 and xy = 3, find : 27x³ – 64y³.

Exercise 12 (D) | Q 13 | Page 155

If a + b = 8 and ab = 15, find : a³ + b³.

Exercise 12 (D) | Q 14 | Page 155

If 3x + 2y = 9 and xy = 3, find : 27x³ + 8y³.

Exercise 12 (D) | Q 15 | Page 155

If 5x – 4y = 7 and xy = 8, find : 125x³ – 64y³.

Exercise 12 (D) | Q 16 | Page 155

The difference between the two numbers is 5 and their products are 14. Find the difference between their cubes.

Solutions for 12: Identities

Exercise 12 (A)Exercise 12 (B)Exercise 12 (C)Exercise 12 (D)

Selina solutions for Concise Mathematics [English] Class 8 ICSE chapter 12 - Identities - Shaalaa.com

Selina solutions for Concise Mathematics [English] Class 8 ICSE chapter 12 - Identities

Shaalaa.com has the CISCE Mathematics Concise Mathematics [English] Class 8 ICSE CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Selina solutions for Mathematics Concise Mathematics [English] Class 8 ICSE CISCE 12 (Identities) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Selina textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Concise Mathematics [English] Class 8 ICSE chapter 12 Identities are Algebraic Identities, Product of Sum and Difference of Two Terms, Important Formula of Expansion, Cubes of Binomials, Application of Formulae, Expansion Form of Numbers.

Using Selina Concise Mathematics [English] Class 8 ICSE solutions Identities exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Selina Solutions are essential questions that can be asked in the final exam. Maximum CISCE Concise Mathematics [English] Class 8 ICSE students prefer Selina Textbook Solutions to score more in exams.

Get the free view of Chapter 12, Identities Concise Mathematics [English] Class 8 ICSE additional questions for Mathematics Concise Mathematics [English] Class 8 ICSE CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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