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Factorisation Using Algebraic Identities

xxix Factoris...

Question

Question 92 (xxix)

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

$8 a^{3} - 2 a$

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Solution

$8 a^{3} - 2 a = 2 a (4 a^{2} - 1) = 2 a [(2 a)^{2} - (1)^{2}] = 2 a (2 a + 1) (2 a - 1)$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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