Question

Multiply and collect like terms (3p+5q)(3p+6q)

Answer 1

Answer:

9p² + 33pq + 30q²

Explanation:

Given the expression (3p+5q)(3p+6q), on expansion we will have;

$\begin{gathered} =\mleft(3p+5q\mright)\mleft(3p+6q\mright) \\ =3p(3p)+3p(6q)+3p(5q)+5q(6q) \\ =9p^2+18pq+15pq+30q^2 \\ =9p^2+33pq+30q^2 \end{gathered}$

Hence the resulting expression after multiplication is given as

9p² + 33pq + 30q²