Chapter 11.1, Problem 56CCR

To determine

To find: Simplify given expression.

Answer to Problem 56CCR

  ${\left(9+1\right)}^2+{\left(2-12\right)}^2=200$

Explanation of Solution

Given information:

  ${\left(9+1\right)}^2+{\left(2-12\right)}^2$

  ${\left(9+1\right)}^2+{\left(2-12\right)}^2$

On solving

We get

  $\begin{array}{l}{\left(9+1\right)}^2+{\left(2-12\right)}^2={\left(10\right)}^2+{\left(-10\right)}^2\\ \Rightarrow {\left(9+1\right)}^2+{\left(2-12\right)}^2=100+100\\ \Rightarrow {\left(9+1\right)}^2+{\left(2-12\right)}^2=200\end{array}$

Therefore,

  ${\left(9+1\right)}^2+{\left(2-12\right)}^2=200$