What is (a^2b-ab^2)/(a^2-ab) ?

The solution to (a^2b-ab^2)/(a^2-ab) is b

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simplify (a^2b-ab^2)/(a^2-ab)

simplify

\frac{a ^{2} b - a b ^{2}}{a ^{2} - ab}

b

Solution steps

\frac{a ^{2} b - a b ^{2}}{a ^{2} - ab}

Factor

a^{2} b - a b^{2} : ab (a - b)

= \frac{ab ( a - b )}{a ^{2} - ab}

Factor

a^{2} - ab : a (a - b)

= \frac{ab ( a - b )}{a ( a - b )}

Cancel the common factor:

a

= \frac{b ( a - b )}{a - b}

Cancel the common factor:

a - b

= b

1 \frac{7}{9} \div \frac{4}{5}

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3 x^{3} y^{2} + 3 y^{2}