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Chapters
2: Compound Interest (Without using formula)
3: Compound Interest (Using Formula)
4: Expansions (Including Substitution)
▶ 5: Factorisation
6: Simultaneous (Linear) Equations (Including Problems)
7: Indices (Exponents)
8: Logarithms
9: Triangles [Congruency in Triangles]
10: Isosceles Triangles
11: Inequalities
12: Mid-point and Its Converse [ Including Intercept Theorem]
13: Pythagoras Theorem [Proof and Simple Applications with Converse]
14: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
15: Construction of Polygons (Using ruler and compass only)
16: Area Theorems [Proof and Use]
17: Circle
18: Statistics
19: Mean and Median (For Ungrouped Data Only)
20: Area and Perimeter of Plane Figures
21: Solids [Surface Area and Volume of 3-D Solids]
22: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
24: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
25: Complementary Angles
26: Co-ordinate Geometry
27: Graphical Solution (Solution of Simultaneous Linear Equations, Graphically)
28: Distance Formula
![Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 5 - Factorisation - Shaalaa.com](/images/concise-mathematics-english-class-9-icse_6:b313c06da7fb4b0f885a06c3b5e4e4fa.jpg "Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 5 - Factorisation")
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Solutions for Chapter 5: Factorisation
Below listed, you can find solutions for Chapter 5 of CISCE Selina for Concise Mathematics [English] Class 9 ICSE.
Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (A) [Pages 68 - 69]
Factorise by taking out the common factors :
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)
Factories by taking out common factors :
xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)
Factories by taking out common factors :
ab(a2 + b2 - c2) - bc(c2 - a2 - b2) + ca(a2 + b2 - c2)
Factories by taking out common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)
Factorise by the grouping method : a3 + a - 3a2 - 3
Factorise by the grouping method: 16 (a + b)2 - 4a - 4b
Factorise by the grouping method : a4 - 2a3 - 4a + 8
Factorise by the grouping method : ab - 2b + a2 - 2a
Factorise by the grouping method:
ab (x2 + 1) + x (a2 + b2)
Factorise by the grouping method : a2 + b - ab - a
Factorise by the grouping method : (ax + by)2 + (bx - ay)2
Factorise by the grouping method : a2x2 + (ax2 + 1) x + a
Factorise by the grouping method : (2a-b)2 -10a + 5b
Factorise by the grouping method : a (a -4) - a + 4
Factorise by the grouping method : y2 - (a + b) y + ab
Factorise by the grouping method :
`a^2 + 1/a^2 - 2 - 3a + 3/a`
Factorize using the grouping method:
x2 + y2 + x + y + 2xy
Factorise using the grouping method :
a2 + 4b2 - 3a + 6b - 4ab
Factorise using the grouping method :
m (x - 3y)2 + n (3y - x) + 5x - 15y
Factorise using the grouping method :
x (6x - 5y) - 4 (6x - 5y)2
Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (B) [Page 71]
Factorise : a2 + 10a + 24
Factorise : a2 - 3a - 40
Factorise : 1 - 2a - 3a2
Factorise : x2 - 3ax - 88a2
Factorise:
6a2 - a - 15
Factorise : 24a3 + 37a2 - 5a
Factorise:
a(3a - 2) - 1
Factorise : a2b2 + 8ab - 9
Factorise : 3 - a (4 + 7a)
Factorise:
(2a + b)2 - 6a - 3b - 4
Factorise : 1 - 2a - 2b - 3 (a + b)2
Factorise : 3a2 - 1 - 2a
Factorise : x2 + 3x + 2 + ax + 2a
Factorise : (3x - 2y)2 + 3 (3x - 2y) - 10
Factorise : 5 - (3a2 - 2a) (6 - 3a2 + 2a)
Factorise : `1/35 + 12/35a + a^2`
Factories: (x2 - 3x)(x2 - 3x - 1) - 20.
Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
x2 - 3x - 54
Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
2x2 - 7x - 15
Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
2x2 + 2x - 75
Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
3x2 + 4x - 10
Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
x(2x - 1) - 1
Factorise : 4√3x2 + 5x - 2√3
Factorise : 7√2x2 - 10x - 4√2
Give possible expressions for the length and the breadth of the rectangle whose area is 12x2 - 35x + 25
Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (C) [Pages 72 - 73]
Factorise : 25a2 - 9b2
Factorise : a2 - (2a + 3b)2
Factorise : a2 - 81 (b-c)2
Factorise : 25(2a - b)2 - 81b2
Factorise : 50a3 - 2a
Factorise : 4a2b - 9b3
Factorise : 3a5 - 108a3
Factorise : 9(a - 2)2 - 16(a + 2)2
Factorise : a4 - 1
Factorise : a3 + 2a2 - a - 2
Factorise : (a + b)3 - a - b
Factorise : a (a - 1) - b (b - 1)
Factorise : 4a2 - (4b2 + 4bc + c2)
Factorise : 4a2 - 49b2 + 2a - 7b
Factorise : 9a2 + 3a - 8b - 64b2
Factorise : 4a2 - 12a + 9 - 49b2
Factorise : 4xy - x2 - 4y2 + z2
Factorise : a2 + b2 - c2 - d2 + 2ab - 2cd
Factorise : 4x2 - 12ax - y2 - z2 - 2yz + 9a2
Factorise:
(a2 - 1) (b2 - 1) + 4ab
Factorise : x4 + x2 + 1
Factorise : (a2 + b2 - 4c2)2 - 4a2b2
Factorise : (x2 + 4y2 - 9z2)2 - 16x2y2
Factorise : (a + b) 2 - a2 + b2
Factorise : a2 - b2 - (a + b) 2
Factorize : 9a2 - (a2 - 4) 2
Factorise : `x^2 + 1/x^2 - 11`
Factorise : `4x^2 + 1/(4x)^2 + 1`
Factorise : 4x4 - x2 - 12x - 36
Factorise : a2 ( b + c) - (b + c)3
Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (D) [Page 74]
Factorise:
a3 - 27
Factorise : 1 - 8a3
Factorise : 64 - a3b3
Factorise : a6 + 27b3
Factorise : 3x7y - 81x4y4
Factorise : a3 - `27/a^3`
Factorise : a3 + 0.064
Factorise:
a4 - 343a
Factorise: (x - y)3 - 8x3
Factorise:
`(8"a"^3)/27 - "b"^3/8`
Factorise : a6 - b6
Factorise : a6 - 7a3 - 8
Factorise:
a3 - 27b3 + 2a2b - 6ab2
Factorise : 8a3 - b3 - 4ax + 2bx
Factorise : a - b - a3 + b3
Factorise : 2x3 + 54y3 - 4x - 12y
Factorise : 1029 - 3x3
Show that : 133 - 53 is divisible by 8
Show that : 353 + 273 is divisible by 62
Evaluate :
`[ 5.67 xx 5.67 xx 5.67 + 4.33 xx 4.33 xx 4.33 ]/[5.67 xx 5.67 - 5.67 xx 4.33 + 4.33 xx 4.33]`
Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (E) [Page 76]
Factorise:
`x^2 + 1/(4x^2) + 1 - 7x - 7/(2x)`
Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`
Factorise : `x^2 + [a^2 + 1]/a x + 1`
Factorise:
`x^4 + y^4 - 27x^2y^2`
Factorise : 4x4 + 9y4 + 11x2y2
Factorise : `x^2 + 1/x^2 - 3`
Factorise : a - b - 4a2 + 4b2
Factorise:
(2a - 3)2 - 2 (2a - 3) (a - 1) + (a - 1)2
Factorise : (a2 - 3a) (a2 - 3a + 7) + 10
Factorise : (a2 - a) (4a2 - 4a - 5) - 6
Factorise : x4 + y4 - 3x2y2
Factorise:
5a2 - b2 - 4ab + 7a - 7b
Factorise : 12(3x - 2y)2 - 3x + 2y - 1
Factorise : 4(2x - 3y)2 - 8x+12y - 3
Factorise : 3 - 5x + 5y - 12(x - y)2
Factorise : 9x 2 + 3x - 8y - 64y2
Factorise : 2√3x2 + x - 5√3
Factorise : `1/4 ( a + b )^2 - 9/16 ( 2a - b )^2`
Factorise : 2(ab + cd) - a2 - b2 + c2 + d2
Find the value of : ( 987 )2 - (13)2
Find the value of : ( 67.8 )2 - ( 32.2 )2
Find the value of : `[(6.7)^2 - (3.3)^2]/[6.7 - 3.3]`
Find the value of : `[(18.5)^2 - (6.5)^2]/[18.5 + 6.5]`
Solutions for 5: Factorisation
Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 5 - Factorisation
Shaalaa.com has the CISCE Mathematics Concise Mathematics [English] Class 9 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 9 ICSE CISCE 5 (Factorisation) 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 9 ICSE chapter 5 Factorisation are Factorisation by Taking Out Common Factors, Factorisation by Grouping, Method of Factorisation : Difference of Two Squares, Method of Factorisation : the Sum Or Difference of Two Cubes, Factorisation by Taking Out Common Factors, Factorisation of a Quadratic Trinomial by Splitting the Middle Term, Factorisation by Taking Out Common Factors.
Using Selina Concise Mathematics [English] Class 9 ICSE solutions Factorisation 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 9 ICSE students prefer Selina Textbook Solutions to score more in exams.
Get the free view of Chapter 5, Factorisation Concise Mathematics [English] Class 9 ICSE additional questions for Mathematics Concise Mathematics [English] Class 9 ICSE CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.
