Factor -5z^3+320

$- 5 z^{3} + 320$

Step 1

Factor $- 5$ out of $- 5 z^{3} + 320$ .

Factor $- 5$ out of $- 5 z^{3}$ .

$- 5 (z^{3}) + 320$

Factor $- 5$ out of $320$ .

$- 5 (z^{3}) - 5 (- 64)$

Factor $- 5$ out of $- 5 (z^{3}) - 5 (- 64)$ .

$- 5 (z^{3} - 64)$

Step 2

Rewrite $64$ as $4^{3}$ .

$- 5 (z^{3} - 4^{3})$

Step 3

Since both terms are perfect cubes, factor using the difference of cubes formula, $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ where $a = z$ and $b = 4$ .

$- 5 ((z - 4) (z^{2} + z \cdot 4 + 4^{2}))$

Step 4

Factor.

Simplify.

Move $4$ to the left of $z$ .

$- 5 ((z - 4) (z^{2} + 4 z + 4^{2}))$

Raise $4$ to the power of $2$ .

$- 5 ((z - 4) (z^{2} + 4 z + 16))$

Remove unnecessary parentheses.

$- 5 (z - 4) (z^{2} + 4 z + 16)$

Factor -5z^3+320

Related Questions

Support LCMGCF.com by disabling your adblocker.