Mathematics Solutions Solutions for Class 8 Maths Chapter 6 Factorisation Of Algebraic Expressions are provided here with simple step-by-step explanations. These solutions for Factorisation Of Algebraic Expressions are extremely popular among Class 8 students for Maths Factorisation Of Algebraic Expressions Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Solutions Book of Class 8 Maths Chapter 6 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Solutions Solutions. All Mathematics Solutions Solutions for class Class 8 Maths are prepared by experts and are 100% accurate.

#### Question 1:

Factorise.
(1) x2 + 9x + 18
(2) x2 − 10x + 9
(3) y2 + 24y + 144
(4) 5y2 + 5y − 10
(5) p2 − 2p − 35
(6) p2 − 7p − 44
(7) m2 − 23m + 120
(8) m2 − 25m + 100
(9) 3x2 + 14x + 15
(10) 2x2 + x − 45
(11) 20x2 − 26x + 8
(12) 44x2 x − 3

#### Question 1:

Factorise.
(1) x3 + 64y3
(2) 125p3 + q3
(3) 125k3 + 27m3
(4) 2l3 + 432m3
(5) 24a3 + 81b3
(6) y3 + $\frac{1}{8{y}^{3}}$
(7) a3 + $\frac{8}{{a}^{3}}$
(8) 1 + $\frac{{q}^{3}}{125}$

It is known that,
${a}^{3}+{b}^{3}=\left(a+b\right)\left({a}^{2}+{b}^{2}-ab\right)$

#### Question 1:

Factorise:
(1) y3 − 27
(2) x3 − 64y3
(3) 27m3 − 216n3
(4) 125y3 − 1
(5) 8p3 $\frac{27}{{p}^{3}}$
(6) 343a3 − 512b3
(7) 64x3 − 729y3
(8) 16a3 $\frac{128}{{b}^{3}}$

It is known that,

#### Question 2:

Simplify:
(1) (x + y)3 − (x y)3
(2) (3a + 5b)3 − (3a − 5b)3
(3) (a + b)3 a3 b3
(4) p3 − (p + 1)3
(5) (3xy − 2ab)3 − (3xy + 2ab)3

It is known that,
${a}^{3}-{b}^{3}=\left(a-b\right)\left({a}^{2}+{b}^{2}+ab\right)$

#### Question 1:

Simplify:
(1) $\frac{{m}^{2}-{n}^{2}}{{\left(m+n\right)}^{2}}×\frac{{m}^{2}+mn+{n}^{2}}{{m}^{3}-{n}^{3}}$

(2) $\frac{{a}^{2}+10a+21}{{a}^{2}+6a-7}×\frac{{a}^{2}-1}{a+3}$

(3) $\frac{8{x}^{3}-27{y}^{3}}{4{x}^{2}-9{y}^{2}}$

(4) $\frac{{x}^{2}-5x-24}{\left(x+3\right)\left(x+8\right)}×\frac{{x}^{2}-64}{{\left(x-8\right)}^{2}}$

(5) $\frac{3{x}^{2}-x-2}{{x}^{2}-7x+12}÷\frac{3{x}^{2}-7x-6}{{x}^{2}-4}$

(6) $\frac{4{x}^{2}-11x+6}{16{x}^{2}-9}$

(7) $\frac{{a}^{3}-27}{5{a}^{2}-16a+3}÷\frac{{a}^{2}+3a+9}{25{a}^{2}-1}$

(8) $\frac{1-2x+{x}^{2}}{1-{x}^{3}}×\frac{1+x+{x}^{2}}{1+x}$