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Factorise(x^2-5x)^2 -8(x^2-5x) -84

Factorise(x^2-5x)^2 -8(x^2-5x) -84
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Factorise(x^2-5x)^2 -8(x^2-5x) -84

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User ValeriiVasin
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1 Answer

4 votes

Answer:

Hi,

Explanation:


(x^2-5x)^2-8(x^2-5x)-84\\\\=(x^2-5x)^2+6(x^2-5x)-14(x^2-5x)-84\\\\=(x^2-5x)((x^2-5x)+6)-14((x^2-5x)+6)\\\\=(x^2-5x+6)(x^2-5x-14)\\\\=(x^2-2x-3x+6)(x^2+2x-7x-14)\\\\=(x-2)(x-3)(x(x+2)-7(x+2))\\\\\boxed{=(x-2)(x-3)(x+2)(x-7)}\\

answered
User EuRBamarth
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