# How do you factor the expression #48g^2-22gh-15h^2#?

##### 1 Answer

Apr 12, 2016

#### Answer:

(8g + 3h)(6g - 5h)

#### Explanation:

Consider g as variable and h as a constant, then factor this trinomial:

Use the systematic new AC Method (Socratic Search)

Converted trinomial:

p' and q' have opposite signs because ac < 0.

Compose factor pairs of (-720h^2) with a calculator -->.

...(-15h, 48h)(15h, -48h)(-18h, 40h)(18h, -40h). This sum is (-22h = b).

Then, p' = 18h and q' = -40h. Back to original f(g):

Factored form: