Simplify ((x+2)/(x-1))÷((x+4)/(x^2+4x-5))

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.
Simplify terms.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply and .
Simplify ((x+2)/(x-1))÷((x+4)/(x^2+4x-5))

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