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

Simplify the numerator.
Factor out of .
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.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor by grouping.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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.
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.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Factor out of .
Factor out of .
Factor out of .
Rewrite negatives.
Rewrite as .
Move the negative in front of the fraction.
Simplify (m^3-mn^2)/(mn^2+m^2n-2m^3)