Factor 150k^2-216

$150 k^{2} - 216$

Step 1

Factor $6$ out of $150 k^{2} - 216$ .

Factor $6$ out of $150 k^{2}$ .

$6 (25 k^{2}) - 216$

Factor $6$ out of $- 216$ .

$6 (25 k^{2}) + 6 (- 36)$

Factor $6$ out of $6 (25 k^{2}) + 6 (- 36)$ .

$6 (25 k^{2} - 36)$

Step 2

Rewrite $25 k^{2}$ as ${(5 k)}^{2}$ .

$6 ({(5 k)}^{2} - 36)$

Step 3

Rewrite $36$ as $6^{2}$ .

$6 ({(5 k)}^{2} - 6^{2})$

Step 4

Factor.

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 k$ and $b = 6$ .

$6 ((5 k + 6) (5 k - 6))$

Remove unnecessary parentheses.

$6 (5 k + 6) (5 k - 6)$