# Simplify (25-a^2)/(b+3)*(2b^2+6b)/(a-5) Simplify the numerator.
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify terms.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Multiply by .
Move to the left of .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Move .
Multiply by .
Multiply and .
Simplify the numerator.
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify terms.
Cancel the common factor of and .
Rewrite as .
Factor out of .
Factor out of .
Reorder terms.
Cancel the common factor.
Divide by .
Simplify by multiplying through.
Apply the distributive property.
Simplify the expression.
Multiply by .
Move to the left of .
Rewrite as .
Simplify by multiplying through.
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Apply the distributive property.
Simplify (25-a^2)/(b+3)*(2b^2+6b)/(a-5)

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