Chapter 1.2, Problem 35PPS

To determine

To Evaluate: The given expression at the given values.

Answer to Problem 35PPS

  $3g{\left(g+r\right)}^2-1=149atg=2,r=3$

Explanation of Solution

Given information:

The expression $3g{\left(g+r\right)}^2-1,g=2,r=3\text{ and }t=11$

Concept and Formula Used:

Rule of exponent and addition and subtraction.

  $a^n=a\times a\times a\times \mathrm{..................}n\text{ times}\text{.}$

Calculation:

As the given expression is $3g{\left(g+r\right)}^2-1$ and given that $g=2,r=3$ we have

  $\begin{array}{l}3\left(2\right){\left(2+3\right)}^2-1\\ =6{\left(5\right)}^2-1\\ =6\times 5\times 5-1\\ =150-1\\ =149\end{array}$

Conclusion:

  $3g{\left(g+r\right)}^2-1=149atg=2,r=3$