Solve 6ab^3/2a-12ab^3/2ab=

$$\frac { 6 a b ^ { 3 } } { 2 a } - \frac { 12 a b ^ { 3 } } { 2 a b } =$$

Evaluate

$$3\left(b-2\right)b^{2}$$

Solution Steps

Cancel out 2a in both numerator and denominator.

$$3b^{3}-\frac{12ab^{3}}{2ab}$$

Cancel out 2ab in both numerator and denominator.

$$3b^{3}-6b^{2}$$

Factor

$$3\left(b-2\right)b^{2}$$

Solution Steps

Cancel out 2a in both numerator and denominator.

$$factor(3b^{3}-\frac{12ab^{3}}{2ab})$$

Cancel out 2ab in both numerator and denominator.

$$factor(3b^{3}-6b^{2})$$

Factor out 3.

$$3\left(b^{3}-2b^{2}\right)$$

Consider b^{3}-2b^{2}. Factor out b^{2}.

$$b^{2}\left(b-2\right)$$

Rewrite the complete factored expression.

$$3b^{2}\left(b-2\right)$$