Simplify ((c^2+3c)/(a^2-2a)*(ca^2-2ca)/(c^2-9))÷((a^2)/(c-3))

Math
To divide by a fraction, multiply by its reciprocal.
Simplify with factoring out.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Simplify the denominator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify terms.
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Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Combine and .
Simplify ((c^2+3c)/(a^2-2a)*(ca^2-2ca)/(c^2-9))÷((a^2)/(c-3))
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