Factor x^7m+2x^4m-15xm

$x^{7} m + 2 x^{4} m - 15 x m$

Factor $x m$ out of $x^{7} m + 2 x^{4} m - 15 x m$ .

Factor $x m$ out of $x^{7} m$ .

$x m (x^{6}) + 2 x^{4} m - 15 x m$

Factor $x m$ out of $2 x^{4} m$ .

$x m (x^{6}) + x m (2 x^{3}) - 15 x m$

Factor $x m$ out of $- 15 x m$ .

$x m (x^{6}) + x m (2 x^{3}) + x m (- 15)$

Factor $x m$ out of $x m (x^{6}) + x m (2 x^{3})$ .

$x m (x^{6} + 2 x^{3}) + x m (- 15)$

Factor $x m$ out of $x m (x^{6} + 2 x^{3}) + x m (- 15)$ .

$x m (x^{6} + 2 x^{3} - 15)$

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

$x m ({(x^{3})}^{2} + 2 x^{3} - 15)$

Let $u = x^{3}$ . Substitute $u$ for all occurrences of $x^{3}$ .

$x m (u^{2} + 2 u - 15)$

Factor $u^{2} + 2 u - 15$ 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 $- 15$ and whose sum is $2$ .

$- 3, 5$

Write the factored form using these integers.

$x m ((u - 3) (u + 5))$

Factor.

Replace all occurrences of $u$ with $x^{3}$ .

$x m ((x^{3} - 3) (x^{3} + 5))$

Remove unnecessary parentheses.

$x m (x^{3} - 3) (x^{3} + 5)$

Factor x^7m+2x^4m-15xm

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