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Chapters
2: Profit , Loss and Discount
3: Compound Interest
4: Expansions
▶ 5: Factorisation
6: Changing the subject of a formula
7: Linear Equations
8: Simultaneous Linear Equations
9: Indices
10: Logarithms
11: Triangles and their congruency
12: Isosceles Triangle
13: Inequalities in Triangles
14: Constructions of Triangles
15: Mid-point and Intercept Theorems
16: Similarity
17: Pythagoras Theorem
18: Rectilinear Figures
19: Quadrilaterals
20: Constructions of Quadrilaterals
21: Areas Theorems on Parallelograms
22: Statistics
23: Graphical Representation of Statistical Data
24: Perimeter and Area
25: Surface Areas and Volume of Solids
26: Trigonometrical Ratios
27: Trigonometrical Ratios of Standard Angles
28: Coordinate Geometry
![Frank solutions for Mathematics [English] Class 9 ICSE chapter 5 - Factorisation - Shaalaa.com](/images/mathematics-english-class-9-icse_6:c41cc344f5174c64a036c55d113af73f.jpg "Frank solutions for 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 Frank for Mathematics [English] Class 9 ICSE.
Frank solutions for Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5.1
Factorise the following by taking out the common factors:
4x2y3 - 6x3y2 - 12xy2
Factorise the following by taking out the common factors:
5a(x2 - y2) + 35b(x2 - y2)
Factorise the following by taking out the common factors:
2x5y + 8x3y2 - 12x2y3
Factorise the following by taking out the common factors:
12a3 + 15a2b - 21ab2
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Factorise the following by taking out the common factors:
(a - b)2 -2(a - b)
Factorise the following by taking out the common factors:
2a(p2 + q2) + 4b(p2 + q2)
Factorise the following by taking out the common factors:
81(p + q)2 -9p - 9q
Factorise the following by taking out the common factors:
(mx + ny)2 + (nx - my)2
Factorise the following by taking out the common factors:
36(x + y)3 - 54(x + y)2
Factorise the following by taking out the common factors:
p(p2 + q2 - r2) + q(r2 - q2 -p2) - r(p2 + q2 - r2)
Factorise the following by grouping the terms:
15xy - 9x - 25y + 15
Factorise the following by grouping the terms:
15x2 + 7y - 3x - 35xy
Factorise the following by grouping the terms:
9 + 3xy + x2y + 3x
Factorise the following by grouping the terms:
8(2a + b)2 - 8a -4b
Factorise the following by grouping the terms:
x(x - 4)- x + 4
Factorise the following by grouping the terms:
2m3 - 5n2 - 5m2n + 2mn
Factorise the following by grouping the terms:
4abx2 + 49aby2 + 14xy(a2 + b2)
Factorise the following by grouping the terms:
9x3 + 6x2y2 - 4y3 - 6xy
Factorise the following by grouping the terms:
3ax2 - 5bx2 + 9az2 + 6ay2 - 10by2 - 15bz2
Factorise the following by grouping the terms:
8x3 - 24x2y + 54xy2 -162y3
Factorise the following by grouping the terms:
2a + b + 3c - d + (2a + b)3 + (2a + b)2(3c - d)
Factorise the following by grouping the terms:
xy(a2 + 1) + a(x2 + y2)
Factorise the following by grouping the terms:
p2x2 + (px2 + 1)x + p
Factorise the following by grouping the terms:
x2 - (p + q)x + pq
Factorise the following by grouping the terms:
`"p"^2 + (1)/"p"^2 - 2 - 5"p" + (5)/"p"`
Factorise the following by grouping the terms:
x + y + m(x + y)
Factorise the following by grouping the terms:
`(1)/(25x^2) + 16x^2 + (8)/(5) - 12x - (3)/(5x)`
Factorise the following by grouping the terms:
2p(a2 - 2b2) -14p + (a2 - 2b2)2 - 7(a2 - 2b2)
Frank solutions for Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5.2
Factorise the following by splitting the middle term:
x2 + 6x + 8
Factorise the following by splitting the middle term:
x2 - 11x + 24
Factorise the following by splitting the middle term:
x2 + 5x - 6
Factorise the following by splitting the middle term:
p2- 12p - 64
Factorise the following by splitting the middle term:
y2 - 2y - 24
Factorise the following by splitting the middle term:
3x2 + 19x - 14
Factorise the following by splitting the middle term:
15a2 - 14a - 16
Factorise the following by splitting the middle term:
12 + x - 6x2
Factorise the following by splitting the middle term:
7x2 + 40x - 12
Factorise the following:
5x2 - 17xy + 6y2
Factorise the following:
9x2 - 22xy + 8y2
Factorise the following:
2x3 + 5x2y - 12xy2
Factorise the following:
x2y2 + 15xy - 16
Factorise the following:
(2p + q)2 - 10p - 5q - 6
Factorise the following:
y2 + 3y + 2 + by + 2b
Factorise the following:
x3y3 - 8x2y2 + 15xy
Factorise the following:
`6sqrt(3)x^2 - 19x + 5sqrt(3)`
Factorise the following:
`2sqrt(5)x^2 - 7x - 3sqrt(5)`
Factorise the following:
5(3x + y)2 + 6(3x + y) - 8
Factorise the following:
5 - 4(a - b) - 12(a - b)2
Factorise the following:
(3a - 2b)2 +3(3a - 2b) - 10
Factorise the following:
(a2 - 2a)2 - 23(a2 - 2a) + 120
Factorise the following:
(x + 4)2 - 5xy - 20y - 6y2
Factorise the following:
7(x - 2)2 - 13(x - 2) - 2
Factorise the following:
12 - (y + y2)(8 - y - y2)
Factorise the following:
(p2 + p)2 - 8(p2 + p) + 12
Factorise the following:
(y2 - 3y)(y2 - 3y + 7) + 10
Factorise the following:
(t2 - t)(4t2 - 4t - 5) - 6
Factorise the following:
12(2x - 3y)2 - 2x + 3y - 1
Factorise the following:
6 - 5x + 5y + (x - y)2
Factorise the following:
`2x^2 + x/(6) - 1`
Factorise the following:
p4 + 23p2q2 + 90q4
Factorise the following:
2a3 + 5a2b - 12ab2
Frank solutions for Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5.3
Factorise the following by the difference of two squares:
x2 - 16
Factorise the following by the difference of two squares:
64x2 - 121y2
Factorise the following by the difference of two squares:
441 - 81y2
Factorise the following by the difference of two squares:
x6 - 196
Factorise the following by the difference of two squares:
625 - b2
Factorise the following by the difference of two squares:
`"m"^2 - (1)/(9)"n"^2`
Factorise the following by the difference of two squares:
8xy2 - 18x3
Factorise the following by the difference of two squares:
16a4 - 81b4
Factorise the following by the difference of two squares:
a(a - 1) - b(b - 1)
Factorise the following by the difference of two squares:
(x + y)2 -1
Factorise the following by the difference of two squares:
x2 + y2 - z2 - 2xy
Factorise the following by the difference of two squares:
(x - 2y)2 -z2
Factorise the following:
9(a - b)2 - (a + b)2
Factorise the following:
25(x - y)2 - 49(c - d)2
Factorise the following:
(2a - b)2 -9(3c - d)2
Factorise the following:
b2 - 2bc + c2 - a2
Factorise the following:
`x^2 + (1)/x^2 - 2`
Factorise the following:
(x2 + y2 - z2)2 - 4x2y2
Factorise the following:
a2 + b2 - c2 - d2 + 2ab - 2cd
Factorise the following:
4xy - x2 - 4y2 + z2
Factorise the following:
4x2 - 12ax - y2 - z2 - 2yz + 9a2
Factorise the following:
(x + y)3 - x - y
Factorise the following:
y4 + y2 + 1
Factorise the following:
(a2 - b2)(c2 - d2) - 4abcd
Express each of the following as the difference of two squares:
(x2 - 2x + 3)(x2 + 2x + 3)
Express each of the following as the difference of two squares:
(x2 - 2x + 3) (x2 - 2x - 3)
Express each of the following as the difference of two squares:
(x2 + 2x - 3) (x2 - 2x + 3)
Factorise:
`y^2 + (1)/(4y^2) + 1 - 6y - (3)/y`
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
Factorise:
x4 + y4 - 6x2y2
Factorise:
4x4 + 25y4 + 19x2y2
Factorise:
`"p"^2 + (1)/"p"^2 - 3`
Factorise:
5x2 - y2 - 4xy + 3x - 3y
Solutions for 5: Factorisation
Frank solutions for Mathematics [English] Class 9 ICSE chapter 5 - Factorisation
Shaalaa.com has the CISCE Mathematics 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. Frank solutions for Mathematics 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. Frank textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in 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 Frank 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 Frank Solutions are essential questions that can be asked in the final exam. Maximum CISCE Mathematics [English] Class 9 ICSE students prefer Frank Textbook Solutions to score more in exams.
Get the free view of Chapter 5, Factorisation Mathematics [English] Class 9 ICSE additional questions for Mathematics Mathematics [English] Class 9 ICSE CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.
