What is (2ab-2b^2)/(a^2b-b^3) ?

The solution to (2ab-2b^2)/(a^2b-b^3) is 2/(a+b)

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simplify (2ab-2b^2)/(a^2b-b^3)

simplify

\frac{2 ab - 2 b ^{2}}{a ^{2} b - b ^{3}}

\frac{2}{a + b}

Solution steps

\frac{2 ab - 2 b ^{2}}{a ^{2} b - b ^{3}}

Factor

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

= \frac{2 b ( a - b )}{a ^{2} b - b ^{3}}

Factor

a^{2} b - b^{3} : b (a + b) (a - b)

= \frac{2 b ( a - b )}{b ( a + b ) ( a - b )}

Cancel the common factor:

b

= \frac{2 ( a - b )}{( a + b ) ( a - b )}

Cancel the common factor:

a - b

= \frac{2}{a + b}

\frac{6}{120}

lo g_{2} (16) - lo g_{2} (5) + lo g_{2} (10)

\frac{3}{4} \times \frac{1}{3}

\frac{1 - \frac{1}{2}}{2}

(m^{3})^{2}

What is (2ab-2b^2)/(a^2b-b^3) ?
The solution to (2ab-2b^2)/(a^2b-b^3) is 2/(a+b)