# How do you factor the expression #49p^2 + 63pq - 36q^2#?

##### 2 Answers

Jan 23, 2017

#### Answer:

#### Explanation:

Note that

Further note that

So let's look at this quadratic in terms of

#49p^2+63pq-36q^2 = (7p)^2+3(7p)(3q)-4(3q)^2#

Note that

#(7p)^2+3(7p)(3q)-4(3q)^2 = ((7p)+4(3q))((7p)-(3q))#

#color(white)((7p)^2+3(7p)(3q)-4(3q)^2) = (7p+12q)(7p-3q)#

Jan 23, 2017

#### Answer:

#### Explanation:

Making

but

so