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Factorisation of Algebraic Expressions Using Identities

Question 92 x...

Question

Question 92 (xxii)

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

$16 x^{4} - 81$

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Solution

$16 x^{4} - 81 = (4 x^{2})^{2} - 9^{2} = (4 x^{2} + 9) (4 x^{2} - 9) = (4 x^{2} + 9) [(2 x)^{2} - 3^{2}] = (4 x^{2} + 9) (2 x + 3) (2 x - 3)$

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Factorisation of Algebraic Expressions Using Identities

Standard VII Mathematics

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