Chapter 8.4, Problem 37PPE

To determine

To simplify the expression ${\left(2a+b\right)}^2$ .

Answer to Problem 37PPE

  ${\left(2a+b\right)}^2=4a^2+4ab+b^2$

Explanation of Solution

Given:

  ${\left(2a+b\right)}^2$

Concept used:

  ${\left(a+b\right)}^2=a^2+2ab+b^2$

Calculation:

  $\begin{array}{l}{\left(2a+b\right)}^2={\left(2a\right)}^2+2\left(2a\right)\left(b\right)+b^2\\ =4a^2+4ab+b^2\end{array}$