Answer
(7p+12q)(7p-3q)
Work Step by Step
Given the polynomial
$49p^{2}$ + 63pq - $36q^{2}$
*** We break of the middle term into two factors that add to give +63 and multiply to give -1764. The two numbers are +84 and -21.
$49p^{2}$ + 84pq - 21pq - $36q^{2}$
We take the GCD of the first two and the GCD of the last two terms.
7p(7p+12q)-3q(7p+12q)
We take (7p+12q) and factor it out which gives us.
(7p+12q)(7p-3q)
