Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Reduce the expression by cancelling the common factors.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Divide by .

Subtract from both sides of the equation.

Combine the opposite terms in .

Subtract from .

Add and .

Since , the equation will always be true for any value of .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

Solve for x (x^2-16)/(x-4)=x+4