Multiply the numerator by the reciprocal of the denominator.

Rewrite as .

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

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Rewrite as .

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

Cancel the common factor.

Rewrite the expression.

Simplify ((m+3)/(m^2-16))/((m^2-9)/(m+4))