Chapter 1, Problem 6T

Solution

To factorize: Factorize the expression $n^2-64$ .

The factorization of expression is $n^2-64=\left(n-8\right)\left(n+8\right)$ .

Given:

The expression is $n^2-64$ .

Concept used:

Use factorize method to factorize the expression.

Calculation:

The expression $n^2-64$ is factorized as:

  $\begin{array}{c}{n}^2-64={\left(n\right)}^2-{\left(8\right)}^2\\ =\left(n-8\right)\left(n+8\right)\end{array}$

Hence the factorization of expression is $n^2-64=\left(n-8\right)\left(n+8\right)$ .