factorize x*x*x-8=?
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Answer:
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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