Chapter 8, Problem 65CR

To determine

The solution of the given expression.

Answer to Problem 65CR

The factor of expression $g^2-225$ is $\left(g-15\right)\left(g+15\right)$

Explanation of Solution

Given information:

The expression $g^2-225$

Concept and Formula Used:

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

Calculation:

The given expression is $g^2-225$

The expression can be written as

  $g^2-225={\left(g\right)}^2-{\left(15\right)}^2$

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

Therefore

  $g^2-225=\left(g-15\right)\left(g+15\right)$

Conclusion:

The factor of expression $g^2-225$ is $\left(g-15\right)\left(g+15\right)$