Solve 3x^2-3y^2/5xy*15x^2y/2y-2x

$$\frac{ 3 { x }^{ 2 } -3 { y }^{ 2 } }{ 5xy } \times \frac{ 15 { x }^{ 2 } y }{ 2y-2x }$$

Evaluate

$$-\frac{9x\left(x+y\right)}{2}$$

Short Solution Steps

Multiply \frac{3x^{2}-3y^{2}}{5xy} times \frac{15x^{2}y}{2y-2x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(3x^{2}-3y^{2}\right)\times 15x^{2}y}{5xy\left(2y-2x\right)}$$

Cancel out 5xy in both numerator and denominator.

$$\frac{3x\left(3x^{2}-3y^{2}\right)}{-2x+2y}$$

Factor the expressions that are not already factored.

$$\frac{3^{2}x\left(x+y\right)\left(x-y\right)}{2\left(-x+y\right)}$$

Extract the negative sign in x-y.

$$\frac{-3^{2}x\left(x+y\right)\left(-x+y\right)}{2\left(-x+y\right)}$$

Cancel out -x+y in both numerator and denominator.

$$\frac{-3^{2}x\left(x+y\right)}{2}$$

Expand the expression.

$$\frac{-9x^{2}-9xy}{2}$$

Expand

$$\frac{-9x^{2}-9xy}{2}$$

Short Solution Steps

Multiply \frac{3x^{2}-3y^{2}}{5xy} times \frac{15x^{2}y}{2y-2x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(3x^{2}-3y^{2}\right)\times 15x^{2}y}{5xy\left(2y-2x\right)}$$

Cancel out 5xy in both numerator and denominator.

$$\frac{3x\left(3x^{2}-3y^{2}\right)}{-2x+2y}$$

Factor the expressions that are not already factored.

$$\frac{3^{2}x\left(x+y\right)\left(x-y\right)}{2\left(-x+y\right)}$$

Extract the negative sign in x-y.

$$\frac{-3^{2}x\left(x+y\right)\left(-x+y\right)}{2\left(-x+y\right)}$$

Cancel out -x+y in both numerator and denominator.

$$\frac{-3^{2}x\left(x+y\right)}{2}$$

Expand the expression.

$$\frac{-9x^{2}-9xy}{2}$$