Rewrite as .

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

Multiply by .

Multiply and .

Expand the denominator using the FOIL method.

Simplify.

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Move to the left of .

Multiply by .

Reorder and .

Rationalize the Denominator (x^2-16)/( square root of x-2)