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

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

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

simplify

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

\frac{a + b}{2}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

b

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

Cancel the common factor:

a - b

= \frac{a + b}{2}

(2 x + 3) (2 x - 3)

- 1^{\frac{2}{3}}

(x^{2} - 4)^{2}

(x^{2} + 2)^{2}

- 64

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