Simplify Expression

Question

Simplify.
(2p^2+3pq−5q^2)^2
Enter the expression in simplest form.

(2p^2+3pq−5q^2)^2=

Answer 1

[(2p+5q)(p+q)]^2 = (2p+5q)^2(p+q)^2 = (2p+5q)(2p+5q)(p+q)(p+q)

factored form is considered simplest, each factor is linear

the other way to go is multiply it out (2p^2+3pq-5q^2)(2p^2+3pq-5q^2) to get a 4th degree polynomial

= 4p^4 + 12p^3q - 11p^2q^2 - 30pq^3 + 25q^4