Question

Subtract$\frac{n^2}{n-4}-\frac{n+12}{n-4}$

Short answer

The required expression is$n+3.$

Step-by-step solution

Given information

The given expression is$\frac{n^2}{n-4}-\frac{n+12}{n-4}$

Simplifying the given expression

Make the denominator same:

$\frac{n^2-n-12}{n-4}$

Factor the numerator:

$\frac{(n-4)(n+3)}{n-4}$

Cancel the common factor:

$n+3.$