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India
Class VIII

Fully factorise after completing the square

Interactive practice questions

Factorise the quadratic using the method of completing the square to get it into the form $y=\left(x+a\right)\left(x+b\right)$y=(x+a)(x+b).

$y=x^2+4x+3$y=x2+4x+3

Easy
4min

Factorise the quadratic using the method of completing the square or otherwise to get it into the form $y=\left(x-a\right)\left(x-b\right)$y=(xa)(xb).

$y=x^2-6x+8$y=x26x+8

Easy
3min

Factorise the quadratic using the method of completing the square to get it into the form $y=\left(x+a\right)\left(x+b\right)$y=(x+a)(x+b).

$y=x^2+56x+159$y=x2+56x+159

Easy
3min

Factorise the quadratic using the method of completing the square to get it into the form $y=\left(x-a\right)\left(x-b\right)$y=(xa)(xb).

$y=x^2-24x+63$y=x224x+63

Easy
3min
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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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