Chapter 11.1, Problem 53CCR

To determine

To find: Simplify given expression.

Answer to Problem 53CCR

  ${\left(10-3\right)}^2+{\left(4-8\right)}^2=65$

Explanation of Solution

Given information:

  ${\left(10-3\right)}^2+{\left(4-8\right)}^2$

  ${\left(10-3\right)}^2+{\left(4-8\right)}^2$

On solving

We get

  $\begin{array}{l}{\left(10-3\right)}^2+{\left(4-8\right)}^2={\left(7\right)}^2+{\left(-4\right)}^2\\ \Rightarrow {\left(10-3\right)}^2+{\left(4-8\right)}^2=49+16\\ \Rightarrow {\left(10-3\right)}^2+{\left(4-8\right)}^2=65\end{array}$

Therefore,

  ${\left(10-3\right)}^2+{\left(4-8\right)}^2=65$