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Factorisation Using Algebraic Identities

xxiv Factoris...

Question

Question 92 (xxiv)

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

$y^{4} - 81$

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Solution

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

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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