Solve 3a^2b-ab^2/x^2:6a^2-2ab/x4

$$\frac { 3 a ^ { 2 } b - a b ^ { 2 } } { x ^ { 2 } } : \frac { 6 a ^ { 2 } - 2 a b } { x 4 }$$

Evaluate

$$\frac{bx_{4}}{2x^{2}}$$

Short Solution Steps

Divide \frac{3a^{2}b-ab^{2}}{x^{2}} by \frac{6a^{2}-2ab}{x_{4}} by multiplying \frac{3a^{2}b-ab^{2}}{x^{2}} by the reciprocal of \frac{6a^{2}-2ab}{x_{4}}.

$$\frac{\left(3a^{2}b-ab^{2}\right)x_{4}}{x^{2}\left(6a^{2}-2ab\right)}$$

Factor the expressions that are not already factored.

$$\frac{abx_{4}\left(-b+3a\right)}{2a\left(-b+3a\right)x^{2}}$$

Cancel out a\left(3a-b\right) in both numerator and denominator.

$$\frac{bx_{4}}{2x^{2}}$$

Expand

$$\frac{bx_{4}}{2x^{2}}$$

Short Solution Steps

Divide \frac{3a^{2}b-ab^{2}}{x^{2}} by \frac{6a^{2}-2ab}{x_{4}} by multiplying \frac{3a^{2}b-ab^{2}}{x^{2}} by the reciprocal of \frac{6a^{2}-2ab}{x_{4}}.

$$\frac{\left(3a^{2}b-ab^{2}\right)x_{4}}{x^{2}\left(6a^{2}-2ab\right)}$$

Factor the expressions that are not already factored.

$$\frac{abx_{4}\left(-b+3a\right)}{2a\left(-b+3a\right)x^{2}}$$

Cancel out a\left(3a-b\right) in both numerator and denominator.

$$\frac{bx_{4}}{2x^{2}}$$