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Chapters
2: Compound Interest
3: Expansions
▶ 4: Factorisation
5: Simultaneous Linear Equations in Two Variables
6: Indices
7: Logarithms
8: Triangles and their congruency
9: Isosceles Triangle
10: Constructions of Triangles
11: Midpoint and Intercept Theorems
12: Pythagoras Theorem
13: Rectilinear Figures
Chapter 14: Construction of Polygons
15: Areas Theorems on Parallelograms
Chapter 16: Circles
17: Statistics
18: Graphical Representation of Statistical Data
19: Perimeter and Area
20: Surface Areas and Volume of Solids
21: Trigonometrical Ratios
22: Trigonometrical Ratios of Standard Angles
23: Coordinate Geometry
![Frank solutions for Mathematics Part 1 [English] Class 9 ICSE chapter 4 - Factorisation - Shaalaa.com](/images/mathematics-part-1-english-class-9-icse_6:130924eae1c4400cad68fc87c1cfdf49.jpg "Frank solutions for Mathematics Part 1 [English] Class 9 ICSE chapter 4 - Factorisation")
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Solutions for Chapter 4: Factorisation
Below listed, you can find solutions for Chapter 4 of CISCE Frank for Mathematics Part 1 [English] Class 9 ICSE.
Frank solutions for Mathematics Part 1 [English] Class 9 ICSE 4 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 Part 1 [English] Class 9 ICSE 4 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 Part 1 [English] Class 9 ICSE 4 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 4: Factorisation
Frank solutions for Mathematics Part 1 [English] Class 9 ICSE chapter 4 - Factorisation
Shaalaa.com has the CISCE Mathematics Mathematics Part 1 [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 Part 1 [English] Class 9 ICSE CISCE 4 (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 Part 1 [English] Class 9 ICSE chapter 4 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 Part 1 [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 Part 1 [English] Class 9 ICSE students prefer Frank Textbook Solutions to score more in exams.
Get the free view of Chapter 4, Factorisation Mathematics Part 1 [English] Class 9 ICSE additional questions for Mathematics Mathematics Part 1 [English] Class 9 ICSE CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.
