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India
Class VIII

Further factorisations

Interactive practice questions

Factorise the following expression by taking out the common factor: $3p\left(3q-r+s\right)+20t\left(3q-r+s\right)$3p(3qr+s)+20t(3qr+s)

Easy
< 1min

Factorise the following expression:

$pqr-p^2q^2r^2-p^3q^3r^3$pqrp2q2r2p3q3r3

Easy
1min

Factor $3x^2\left(5x-3\right)+x^3\times5$3x2(5x3)+x3×5.

Easy
2min

Factorise the expression $2\left(x+9\right)\left(x-5\right)^3+3\left(x+9\right)^2\left(x-5\right)^2$2(x+9)(x5)3+3(x+9)2(x5)2.

Easy
4min
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Outcomes

8.A.AE.3

Identities (a ± b)^2 = a^2 ± 2ab + b^2, a^2 – b^2 = (a – b) (a + b) Factorisation (simple cases only) as examples the following types a(x + y), (x ± y)^2, a^2 – b^2, (x + a).(x + b)

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