Agohofidov6
2021-12-19
Answered

Which of the following is the correct factorization of ${x}^{3}+8$ ?

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puhnut1m

Answered 2021-12-20
Author has **33** answers

Step 1

Given expression :

${x}^{3}+8$

Formula used:

${x}^{3}+{y}^{3}=(x+y)({x}^{2}-xy+{y}^{2})$

Step 2

Given expression${x}^{3}+8$ can be written as $x}^{3}+{2}^{3$ .

By applying the above formula sum of cube,

${x}^{3}+{2}^{3}=(x+2)({x}^{2}-2x+{2}^{2})$

$=(x+2)({x}^{2}-2x+4)$

Given expression :

Formula used:

Step 2

Given expression

By applying the above formula sum of cube,

Virginia Palmer

Answered 2021-12-21
Author has **27** answers

Step 1

Given:

${x}^{3}+8$

It can be written as :

$x}^{3}+{2}^{3$

Step 2

Factorize :

use the formula :${a}^{3}+{b}^{3}=(a+b)({a}^{2}-ab+{b}^{2})$

$\Rightarrow k={x}^{3}+{2}^{3}$

$=(x+2)({x}^{2}-2x+4)$

Given:

It can be written as :

Step 2

Factorize :

use the formula :

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