Factorisation Using Algebraic Identities

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Question

Question 92 (i)

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

$x^{2} - 9$

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Solution

We have, $x^{2} - 9 = x^{2} - 3^{2} = (x - 3) (x + 3) [∵ a^{2} - b^{2} = (a - b) (a + b)]$

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