Chapter 8.4, Problem 1AGP

To determine

To find: The product ${\left(8c+3d\right)}^2$

Answer to Problem 1AGP

  $64c^2+48cd+9d^2$

Explanation of Solution

Given:

  ${\left(8c+3d\right)}^2$

Calculation:

The given expression is ${\left(8c+3d\right)}^2$

Apply the formula ${\left(a+b\right)}^2=a^2+2ab+b^2$ and then simplify

  $\begin{array}{l}{\left(8c+3d\right)}^2\\ ={\left(8c\right)}^2+2\cdot 8c\cdot 3d+{\left(3d\right)}^2\\ =64c^2+48cd+9d^2\end{array}$