Factor 3r^3-192

$3 r^{3} - 192$

Step 1

Factor $3$ out of $3 r^{3} - 192$ .

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

$3 (r^{3}) - 192$

Factor $3$ out of $- 192$ .

$3 r^{3} + 3 \cdot - 64$

Factor $3$ out of $3 r^{3} + 3 \cdot - 64$ .

$3 (r^{3} - 64)$

Step 2

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

$3 (r^{3} - 4^{3})$

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 $a = r$ and $b = 4$ .

$3 ((r - 4) (r^{2} + r \cdot 4 + 4^{2}))$

Step 4

Factor.

Simplify.

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

$3 ((r - 4) (r^{2} + 4 r + 4^{2}))$

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

$3 ((r - 4) (r^{2} + 4 r + 16))$

Remove unnecessary parentheses.

$3 (r - 4) (r^{2} + 4 r + 16)$

Factor 3r^3-192

Related Questions

Support LCMGCF.com by disabling your adblocker.