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Exercise

$\frac{\left(x+2\right)\left(x+1\right)}{x^3-1}$

Step-by-step Solution

1

Apply the formula: $a^3+b$$=\left(a-\sqrt[3]{\left|b\right|}\right)\left(a^2+a\sqrt[3]{\left|b\right|}+\sqrt[3]{\left|b\right|^{2}}\right)$, where $a=x$ and $b=-1$

$\frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x^2+x+1\right)}$

Final answer to the exercise

$\frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x^2+x+1\right)}$

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