Mathematics Solutions Solutions for Class 8 Maths Chapter 5 Expansion Formulae are provided here with simple step-by-step explanations. These solutions for Expansion Formulae are extremely popular among Class 8 students for Maths Expansion Formulae 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 5 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:

Expand
(1) (a+2)(a−1)
(2) (m−4)(m+6)
(3) (p+8)(p−3)
(4) (13+x)(13−x)
(5) (3x+4y)(3x+5y)
(6) (9x−5t)(9x+3t)
(7) $\left(m+\frac{2}{3}\right)$$\left(m-\frac{7}{3}\right)$
(8) $\left(x+\frac{1}{x}\right)$$\left(x-\frac{1}{x}\right)$
(9) $\left(\frac{1}{y}+4\right)$$\left(\frac{1}{y}-9\right)$

#### Answer:

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

#### Question 1:

Expand
(1) ${\left(k+4\right)}^{3}$
(2)
(3)
(4) ${\left(52\right)}^{3}$
(5) ${\left(101\right)}^{3}$
(6) ${\left(x+\frac{1}{x}\right)}^{3}$
(7)
(8) ${\left(\frac{5x}{y}+\frac{y}{5x}\right)}^{3}$

#### Answer:

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

Expand
(1) (2m − 5)3
(2) (4 − p)
(3) (7x − 9y)3
(4) (58)3
(5) (198)3
(6)
(7)
(8)

#### Answer:

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

#### Question 2:

Simplify
(1) (2a + b)3 − (2a − b)3
(2) (3r − 2k)3 + (3r + 2k)3
(3) (4a − 3)3 − (4a +3)3
(4) (5x − 7y)3 + (5x + 7y)3

#### Answer:

It is known that,

#### Question 1:

Expand.
(1) (2p + q +5)2
(2) (m + 2n +3r)2
(3) (3x +4y − 5p)2
(4) (7m − 3n − 4k)2

#### Answer:

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

#### Question 2:

Simplify.
(1) (x − 2y +3)2 + (x + 2y − 3)2
(2) (3k − 4r − 2m)2 − (3k + 4r − 2m)2
(3) (7a − 6b + 5c)2 + (7a + 6b − 5c)2

#### Answer:

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

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