Simplify ((c^2+3c+2)/(c^2-4c+3))÷((c+2)/(c-3))

Math
To divide by a fraction, multiply by its reciprocal.
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Reduce the expression by cancelling the common factors.
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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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Cancel the common factor.
Rewrite the expression.
Simplify ((c^2+3c+2)/(c^2-4c+3))÷((c+2)/(c-3))
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