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Factorisation of Algebraic Expressions Using Identities

Question 89 x...

Question

Question 89 (xi)

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

$9 x^{2} + 24 x + 16$

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Solution

We have, $9 x^{2} + 24 x + 16$
$= (3 x)^{2} + 2.3 x .4 + 4^{2} = (3 x + 4)^{2} = (3 x + 4) (3 x + 4)$

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Factorisation of Algebraic Expressions Using Identities

Standard VII Mathematics

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