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Factorisation using algebraic identities

Question 92 x...

Question

Question 92 (xix)

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

$x^{4} - 1$

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Solution

$x^{4} - 1 = (x^{2})^{2} - 1 = (x^{2} + 1) (x^{2} - 1) = (x^{2} + 1) (x + 1) (x - 1)$

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Factorisation using algebraic identities

Standard VIII Mathematics

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