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Exercise

$\frac{x^2}{x^3-1}$

Step-by-step Solution

1

Factor the difference of cubes: $a^3-b^3 = (a-b)(a^2+ab+b^2)$

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

Final answer to the exercise

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

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Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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