Simplify (m^3-mn^2)/(mn^2+m^2n-2m^3)

Math
Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify the denominator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor by grouping.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Reorder terms.
Reorder and .
Factor out of .
Rewrite as plus
Apply the distributive property.
Move parentheses.
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Rewrite as .
Simplify terms.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Factor out of .
Factor out of .
Factor out of .
Rewrite negatives.
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Rewrite as .
Move the negative in front of the fraction.
Simplify (m^3-mn^2)/(mn^2+m^2n-2m^3)

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