Factor 18h^2+15h-18

$18 h^{2} + 15 h - 18$

Step 1

Factor $3$ out of $18 h^{2} + 15 h - 18$ .

Factor $3$ out of $18 h^{2}$ .

$3 (6 h^{2}) + 15 h - 18$

Factor $3$ out of $15 h$ .

$3 (6 h^{2}) + 3 (5 h) - 18$

Factor $3$ out of $- 18$ .

$3 (6 h^{2}) + 3 (5 h) + 3 (- 6)$

Factor $3$ out of $3 (6 h^{2}) + 3 (5 h)$ .

$3 (6 h^{2} + 5 h) + 3 (- 6)$

Factor $3$ out of $3 (6 h^{2} + 5 h) + 3 (- 6)$ .

$3 (6 h^{2} + 5 h - 6)$

Step 2

Factor.

Factor by grouping.

For a polynomial of the form $a x^{2} + b x + c$ , rewrite the middle term as a sum of two terms whose product is $a \cdot c = 6 \cdot - 6 = - 36$ and whose sum is $b = 5$ .

Factor $5$ out of $5 h$ .

$3 (6 h^{2} + 5 (h) - 6)$

Rewrite $5$ as $- 4$ plus $9$

$3 (6 h^{2} + (- 4 + 9) h - 6)$

Apply the distributive property.

$3 (6 h^{2} - 4 h + 9 h - 6)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$3 ((6 h^{2} - 4 h) + 9 h - 6)$

Factor out the greatest common factor (GCF) from each group.

$3 (2 h (3 h - 2) + 3 (3 h - 2))$

Factor the polynomial by factoring out the greatest common factor, $3 h - 2$ .

$3 ((3 h - 2) (2 h + 3))$

Remove unnecessary parentheses.

$3 (3 h - 2) (2 h + 3)$

Factor 18h^2+15h-18

Related Questions

Support LCMGCF.com by disabling your adblocker.