Chapter 8, Problem 12CT

To determine

The solution of the given expression.

Answer to Problem 12CT

The solution of product $\left(3g-5\right)\left(3g+5\right)$ is $9g^2-25$

Explanation of Solution

Given information:

The product $\left(3g-5\right)\left(3g+5\right)$

Concept and Formula Used:

The property $\left(a-b\right)\left(a+b\right)=a^2-b^2$

Calculation:

The given expression is $\left(3g-5\right)\left(3g+5\right)$

Using the property ${\left(a-b\right)}^2=a^2-2ab+b^2$

Therefore

  $\begin{array}{l}\left(3g-5\right)\left(3g+5\right)={\left(3g\right)}^2-{\left(5\right)}^2\\ \left(3g-5\right)\left(3g+5\right)=9g^2-25\end{array}$

Conclusion:

The solution of product $\left(3g-5\right)\left(3g+5\right)$ is $9g^2-25$