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Factorisation Using Algebraic Identities

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Question

Question 92 (xx)

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

$y^{4} - 625$

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Solution

$y^{4} - 625 = (y^{2})^{2} - (25)^{2} = (y^{2} + 25) (y^{2} - 25) = (y^{2} + 25) (y^{2} - 5^{2}) = (y^{2} + 25) (y + 5) (y - 5)$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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