Question

In the following exercises, find the product of ${\left(9p+8q\right)}^2$.

Short answer

The product of ${\left(9p+8q\right)}^2$is $81p^2+144pq+64q^2$.

Step-by-step solution

Step 1. Given Information.

Considering the given expression is ${\left(9p+8q\right)}^2$.

Step 2. Solve for the multiplication of given expression.

Multiply the expression ${\left(9p+8q\right)}^2$.

$$\begin{gathered} {\left(9p+8q\right)}^2={\left(9p\right)}^2+2·\hspace{0.17em}9p·\hspace{0.17em}8q+{\left(8q\right)}^2 \\ {\left(9p\right)}^2+2·\hspace{0.17em}9p·\hspace{0.17em}8q+{\left(8q\right)}^2=81p^2+144pq+64q^2 \end{gathered}$$