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Exercise

$\frac{\left(w^3-9w\right)}{\left(w^3-6w^2-9w\right)}$

Step-by-step Solution

1

Factor the polynomial $w^3-6w^2-9w$ by it's greatest common factor (GCF): $w$

$\frac{w^3-9w}{w\left(w^2-6w-9\right)}$
2

Factor the polynomial $w^3-9w$ by it's greatest common factor (GCF): $w$

$\frac{w\left(w^2-9\right)}{w\left(w^2-6w-9\right)}$
3

Simplify the fraction $\frac{w\left(w^2-9\right)}{w\left(w^2-6w-9\right)}$ by $w$

$\frac{w^2-9}{w^2-6w-9}$

Final answer to the exercise

$\frac{w^2-9}{w^2-6w-9}$

Try other ways to solve this exercise

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Main Topic: Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

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