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Factorisation Using Algebraic Identities

Factorise : 3...

Question

Factorise :

$3 x^{5} - 48 x$

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Solution

$3 x^{5} - 48 x = 3 x (x^{4} - 16) = 3 x {(x)^{2} - (4)^{2}} = 3 x (x^{2} + 4) (x^{2} - 4) = 3 x (x^{2} + 4) {(x)^{2} - (2)^{2}} = 3 x (x^{2} + 4) (x + 2) (x - 2) A n s .$

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