Chapter 9.1, Problem 4BCYP

To determine

To Evaluate: The given expression if $a=5,b=-2$ and $c=\frac{3}{4}$

  ${\left(a+b\right)}^3$

Answer to Problem 4BCYP

The required answer is 27.

Explanation of Solution

Given information:

  $a=5,b=-2$ and $c=\frac{3}{4}$

Calculation:

  ${\left(a+b\right)}^3={\left\{5+\left(-2\right)\right\}}^3$

(Substituting the value of a and b i.e.5 and -2)

  $={\left(5-2\right)}^3$

(Simplify)

  $=3^3$

(Subtract 2 from 5 first)

  $=27$

  $\left(3^3=3\cdot 3\cdot 3or27\right)$