Question

Factorize (a2-2a)3-23(a2-2a)+120

Answer 1

Hey mate ur ans is here.....

${( {a}^{2} - 2a) }^{3} - 23( {a}^{2} - 2a) + 120 \\ = {( {a}^{2} - 2a) }^{3} - 15( {a}^{2} - 2a) - 8( {a}^{2} - 2a) + 120 \\ = ( {a}^{2} - 2a - 15){( { {a}^{2} - 2a})^{2} } - 8({a}^{2} - 2a - 15) \\ = ( {a}^{2} - 2a - 15)( < { {a}^{2} - 2a} > ^{2} - 8)$
Hope it helps you...

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