Chapter 8, Problem 64CR

To determine

The solution of the given expression.

Answer to Problem 64CR

The factor of expression $49n^2-4$ is $\left(7n-2\right)\left(7n+2\right)$

Explanation of Solution

Given information:

The expression $49n^2-4$

Concept and Formula Used:

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

Calculation:

The given expression is $49n^2-4$

The expression can be written as

  $49n^2-4={\left(7n\right)}^2-{\left(2\right)}^2$

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

Therefore

  $49n^2-4=\left(7n-2\right)\left(7n+2\right)$

Conclusion:

The factor of expression $49n^2-4$ is $\left(7n-2\right)\left(7n+2\right)$