Chapter 5 : Factorisation of Algebraic Expressions - Rd Sharma Solutions for Class 9 Maths CBSE
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Chapter 5 - Factorisation of Algebraic Expressions Excercise Ex. 5.1
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Give possible expressions for the length and breadth of the rectangle having
35y2 + 13y - 12 as its area.
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27
Solution 27
Question 28
Solution 28
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Chapter 5 - Factorisation of Algebraic Expressions Excercise Ex. 5.2
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Chapter 5 - Factorisation of Algebraic Expressions Excercise Ex. 5.3
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Chapter 5 - Factorisation of Algebraic Expressions Excercise Ex. 5.4
Question 1
Solution 1
Question 2
Solution 2
Question 3
Factorise : 27x3 - y3 - z3 - 9xyz
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Chapter 5 - Factorisation of Algebraic Expressions Excercise 5.25
Question 1
The factors of x3 - x2y - xy2 + y3 are
(a) (x + y)(x2 - xy + y2)
(b) (x + y)(x2 + xy + y2)
(c) (x + y)2(x - y)
(d) (x - y)2(x + y)
Solution 1
Question 2
The factors of x3 - 1 + y3 + 3xy are
(a) (x - 1 + y) (x2 + 1 + y2 + x + y - xy)
(b) (x + y + 1) ( x2 + y2 + 1 - xy - x - y)
(c) (x - 1 + y) (x2 - 1 - y2 + x + y + xy)
(d) 3(x + y - 1) (x2 + y2 - 1)
Solution 2
Question 3
The factors of 8a3 + b3 - 6ab + 1 are
(a) (2a + b - 1)(4a2 + b2 + 1 - 3ab - 2a)
(b) (2a - b + 1)(4a2 + b2 - 4ab + 1 - 2a + b)
(c) (2a + b + 1)(4a2 + b2 + 1 - 2ab - b - 2a)
(d) (2a - 1 + b)(4a2 + 1 - 4a - b - 2ab)
Solution 3
Question 4
(x + y)3 - (x - y)3 can be factorized as
(a) 2y(3x2 + y2)
(b) 2x(3x2 + y2)
(c) 2y(3y2 + x2)
(d) 2x(x2 + 3y2)
Solution 4
Question 5
The expression (a - b)3 + (b - c)3 + (c - a)3 can be factorized as
(a) (a - b)(b - c)(c - a)
(b) 3(a - b)(b - c)(c - a)
(c) -3(a - b)(b - c)(c - a)
(d) (a + b + c)(a2 + b2 + c2 - ab - bc - ca)
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Chapter 5 - Factorisation of Algebraic Expressions Excercise 5.26
Question 1
The factors of a2 - 1 - 2x - x2 are
(a) (a - x + 1)(a - x - 1)
(b) (a + x - 1)(a - x + 1)
(c) (a + x + 1)(a - x - 1)
(d) none of these
Solution 1
a2 - 1 - 2x - x2
= a2 - (1 + 2x + x2)
= a2 - (1 + x)2
= [a - (1 + x)][a + (1 + x)]
= (a - x - 1)(a + x + 1)
Hence, correct option is (c).
Question 2
The factors of x4 + x2 + 25 are
(a) x2 + 3x + 5)(x2 - 3x + 5)
(b) (x2 + 3x + 5)(x2 + 3x - 5)
(c) (x2 + x + 5)(x2 - x + 5)
(d) none of these
Solution 2
Question 3
The factors of x2 + 4y2 + 4y - 4xy - 2x - 8 are
(a) (x - 2y - 4)(x - 2y + 2)
(b) (x - y + 2)(x - 4y - 4)
(c) (x + 2y - 4)(x + 2y + 2)
(d) none of these
Solution 3
Question 4
The factors of x3 - 7x + 6 are
(a) x(x - 6)(x - 1)
(b) (x2 - 6)(x - 1)
(c) (x + 1)(x + 2)(x - 3)
(d) (x - 1)(x + 3)(x - 2)
Solution 4
Question 5
The expression x4 + 4 can be factorized as
(a) (x2 + 2x + 2)(x2 - 2x + 2)
(b) (x2 + 2x + 2)(x2 + 2x - 2)
(c) (x2 - 2x - 2)(x2 - 2x + 2)
(d) (x2 + 2)(x2 - 2)
Solution 5
Question 6
If 3x = a + b + c, then the value of (x - a)3 + (x - b)3 + (x - c)3 - 3(x - a)(x - b)(x - c) is
(a) a + b + c
(b) (a - b)(b - c)(c - a)
(c) 0
(d) none of these
Solution 6
Question 7
If (x + y)3 - (x - y)3 - 6y(x2 - y2) = ky2, then k =
(a) 1
(b) 2
(c) 4
(d) 8
Solution 7
Question 8
If x3 - 3x2 + 3x + 7 = (x + 1) (ax2 + bx + c), then a + b + c =
(a) 4
(b) 12
(c) -10
(d) 3
Solution 8
CBSE Class 9 Maths Homework Help
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