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Algebraic Identities

Factorise: 2x...

Question

Factorise:
$2 x^{4} - 32$

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Solution

$2 x^{4} - 32 = 2 (x^{4} - 16) = 2 [(x^{2})^{2} - (4)^{2}] = 2 (x^{2} - 4) (x^{2} + 4) = 2 (x + 2) (x - 2) (x^{2} + 4)$

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