Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor of .

Factor out 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 .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move to the left of .

Simplify (8/((y+5)^2))/(24/(y^2-25))