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India
Class VIII

Perfect squares

Interactive practice questions

By expanding $\left(b+7\right)^2$(b+7)2, we want to determine the factorisation for $b^2+14b+49$b2+14b+49.

a

First expand $\left(b+7\right)^2$(b+7)2.

b

Hence, factorise $b^2+14b+49$b2+14b+49.

Easy
1min

By expanding $\left(y-5\right)^2$(y5)2, we want to determine the factorisation for $y^2-10y+25$y210y+25.

Easy
1min

Factorise $x^2+10x+25$x2+10x+25

Easy
< 1min

Factorise $x^2+14x+49$x2+14x+49

Easy
< 1min
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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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