Solve 2y/2y-5*6y-15/2y^2-6y

$$\frac { 2 y } { 2 y - 5 } \times \frac { 6 y - 15 } { 2 y ^ { 2 } - 6 y }$$

Evaluate

$$\frac{3}{y-3}$$

Short Solution Steps

Multiply \frac{2y}{2y-5} times \frac{6y-15}{2y^{2}-6y} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2y\left(6y-15\right)}{\left(2y-5\right)\left(2y^{2}-6y\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\times 3y\left(2y-5\right)}{2y\left(y-3\right)\left(2y-5\right)}$$

Cancel out 2y\left(2y-5\right) in both numerator and denominator.

$$\frac{3}{y-3}$$

Expand

$$\frac{3}{y-3}$$

Short Solution Steps

Multiply \frac{2y}{2y-5} times \frac{6y-15}{2y^{2}-6y} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2y\left(6y-15\right)}{\left(2y-5\right)\left(2y^{2}-6y\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\times 3y\left(2y-5\right)}{2y\left(y-3\right)\left(2y-5\right)}$$

Cancel out 2y\left(2y-5\right) in both numerator and denominator.

$$\frac{3}{y-3}$$