Question

factorize: x⁶-7x³-8.

please help me this question please ​

Answer 1

Step-by-step explanation:

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$Given:-$

$x {}^{2} −7x {}^{3} −8$

$=(x {}^{3} ) {}^{2} −7(x {}^{3} )−8$

$=(x {}^{3} −8)(x {}^{3} +1)$

$=(x {}^{3} −2 {}^{3} \frac{}{} )(x {}^{3} +1 {}^{3} )$

$We \: know$

$a {}^{3} +b {}^{3} =(a+b)(a {}^{2} −ab+b {}^{2} )$

$and \:  a {}^{3} −b {}^{3} =(a−b)(a {}^{2} +ab+b {}^{2} )$

$So,$

$=(x−2)(x {}^{2} +2x+4)(x+1)(x {}^{2} −x+1)$