Chapter 2.1, Problem 8E

To determine

To calculate: The value of the expression ${{\displaystyle x}}^2+{{\displaystyle y}}^3+15$ , when $x=5$ and $y=-2$

Answer to Problem 8E

The value of the expression ${{\displaystyle x}}^2+{{\displaystyle y}}^3+15$ is $32$ when $x=5$ and $y=-2$

Explanation of Solution

Given information:

  ${{\displaystyle x}}^2+{{\displaystyle y}}^3+15$

  $x=5$ and $y=-2$

Calculation:

  ${{\displaystyle x}}^2+{{\displaystyle y}}^3+15$

  ${{\displaystyle 5}}^2+{{\displaystyle (-2)}}^3+15$  (Replacing ${{\displaystyle 5}}^2+{{\displaystyle (-2)}}^3+15$

  $x$ by $5$ and $y$ by $-2$ )

  $=5\times 5+(-2)(-2)(-2)+15$

  $=25-8+15$

  $=32$