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Factorisation Using Algebraic Identities

ii Factorise ...

Question

Question 92 (ii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$4 x^{2} - 25 y^{2}$

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Solution

We have, $4 x^{2} - 25 y^{2}$
$4 x^{2} - 25 y^{2} = (2 x)^{2} - (5 y)^{2} = (2 x - 5 y) (2 x + 5 y)$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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