Chapter 12, Problem 3CUR

To determine

To find: the value of expression ${\left(y+z\right)}^2-3$ when $y=3$ and $z=5$ .

Answer to Problem 3CUR

the value of expression ${\left(y+z\right)}^2-3$ is $61$ when $y=3$ and $z=5$ .

Explanation of Solution

Given : the expressionis ${\left(y+z\right)}^2-3$ .

Calculation: to find the value of this expression substitute y by 3 and z by 5 then add both and square and subtract.

  $\begin{array}{l}{\left(y+z\right)}^2-3={\left(3+5\right)}^2-3\text{ [substitute y by 3 and z by 5]}\\ {\left(y+z\right)}^2-3={\left(8\right)}^2-3\text{ [add]}\\ {\left(y+z\right)}^2-3=64-3\text{ [square]}\\ {\left(y+z\right)}^2-3=61\text{ [subtract]}\end{array}$

Hence,the value of expression ${\left(y+z\right)}^2-3$ is $61$ when $y=3$ and $z=5$ .