Answer
(p+3q)(p-11q)
Work Step by Step
You are given $p^{2}$-8qp-33$q^{2}$. Factor it out:
$p^{2}$+3pq-11pq-33$q^{2}$ -break out the middle value-
($p^{2}$+3pq)+(-11pq-33$n^{2}$) -group the first two and last two terms-
p(p+3q)-11q(p+3q) -Find the GCF of each grouping-
(p+3q)(p-11q) -factor out the common term-
=(p+3q)(p-11q)
