Math, asked by tripuraripadhan1, 10 months ago

factorize x*x*x-8=?​

Answers

Answered by Anonymous
1

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Answered by arnav9116
0

Answer:

 {x}^{3} - 8 {x}^{2} + 64x + 596

Step-by-step explanation:

x×x×x-8=x^3-2^3

=(x-8)^3

since, (a-b)^3=(a^2-2ab+b^2)(a+b)

therefore

(x-8)^3=[x^2-2(x)(8)+8^2](x+8)

=(x^2-16x+64)(x+8)

=x(x^2-16x+64)+8(x^2-16x+64)

=x^3-16x^2+64x+8x^2-148x+512

=x^3-8x^2+64x+596

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