Chapter 11.1, Problem 55CCR

To determine

To find: Simplify given expression.

Answer to Problem 55CCR

  ${\left(-4-3\right)}^2+{\left(-1-5\right)}^2=85$

Explanation of Solution

Given information:

  ${\left(-4-3\right)}^2+{\left(-1-5\right)}^2$

  ${\left(-4-3\right)}^2+{\left(-1-5\right)}^2$

On solving

We get

  $\begin{array}{l}{\left(-4-3\right)}^2+{\left(-1-5\right)}^2={\left(-7\right)}^2+{\left(-6\right)}^2\\ \Rightarrow {\left(-4-3\right)}^2+{\left(-1-5\right)}^2=49+36\\ \Rightarrow {\left(-4-3\right)}^2+{\left(-1-5\right)}^2=85\end{array}$

Therefore,

  ${\left(-4-3\right)}^2+{\left(-1-5\right)}^2=85$