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Exercise

$\frac{z^3-w^3}{z-w}$

Step-by-step Solution

1

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

$\frac{\left(z-w\right)\left(z^2+zw+w^{2}\right)}{z-w}$
2

Simplify the fraction $\frac{\left(z-w\right)\left(z^2+zw+w^{2}\right)}{z-w}$ by $z-w$

$z^2+zw+w^{2}$

Final answer to the exercise

$z^2+zw+w^{2}$

Try other ways to solve this exercise

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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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