# How do you find the product of (p+3q)(p+3q)?

Apr 16, 2018

${p}^{2} + 6 p q + 9 {q}^{2}$

#### Explanation:

FOIL

$p \left(p\right) = {p}^{2}$

$p \left(3 q\right) = 3 p q$

$p \left(3 q\right) = 3 p q$

Add the two together and you get

$6 p q$

Multiply the last two terms and get

$3 q \left(3 q\right) = 9 {q}^{2}$