Chapter 8.4, Problem 18MCQ

To determine

The solution of the given expression.

Answer to Problem 18MCQ

The solution of expression ${\left(r+3\right)}^2$ is $r^2+6r+9$

Explanation of Solution

Given information:

The expression ${\left(r+3\right)}^2$

Concept and Formula Used:

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

Calculation:

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

Using the property ${\left(a+b\right)}^2=a^2+2ab+b^2$

Therefore

  $\begin{array}{l}{\left(r+3\right)}^2={\left(r\right)}^2+2\times \left(r\right)\times \left(3\right)+{\left(3\right)}^2\\ {\left(r+3\right)}^2=r^2+6r+9\end{array}$

Conclusion:

The solution of expression ${\left(r+3\right)}^2$ is $r^2+6r+9$