Factor w^3-3w^2-18w

$w^{3} - 3 w^{2} - 18 w$

Step 1

Factor $w$ out of $w^{3} - 3 w^{2} - 18 w$ .

Factor $w$ out of $w^{3}$ .

$w \cdot w^{2} - 3 w^{2} - 18 w$

Factor $w$ out of $- 3 w^{2}$ .

$w \cdot w^{2} + w (- 3 w) - 18 w$

Factor $w$ out of $- 18 w$ .

$w \cdot w^{2} + w (- 3 w) + w \cdot - 18$

Factor $w$ out of $w \cdot w^{2} + w (- 3 w)$ .

$w (w^{2} - 3 w) + w \cdot - 18$

Factor $w$ out of $w (w^{2} - 3 w) + w \cdot - 18$ .

$w (w^{2} - 3 w - 18)$

Step 2

Factor.

Factor $w^{2} - 3 w - 18$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 18$ and whose sum is $- 3$ .

$- 6, 3$

Write the factored form using these integers.

$w ((w - 6) (w + 3))$

Remove unnecessary parentheses.

$w (w - 6) (w + 3)$

Factor w^3-3w^2-18w

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