Simplify ((m^2-n^2)/(m+n))/(m/(m^2+nm))

Math
Multiply the numerator by the reciprocal of the denominator.
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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Cancel the common factor.
Divide by .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
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Combine the opposite terms in .
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Reorder the factors in the terms and .
Subtract from .
Add and .
Simplify each term.
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Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
Simplify ((m^2-n^2)/(m+n))/(m/(m^2+nm))


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