Solve 2r/r_{s-2s}*r-2/6s+4

$$\frac { 2 r } { r _ { s } - 2 s } \times \frac { r - 2 } { 6 s + 4 }$$

Evaluate

$$\frac{r\left(r-2\right)}{\left(r_{s}-2s\right)\left(3s+2\right)}$$

Short Solution Steps

Multiply \frac{2r}{r_{s}-2s} times \frac{r-2}{6s+4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2r\left(r-2\right)}{\left(r_{s}-2s\right)\left(6s+4\right)}$$

Factor the expressions that are not already factored.

$$\frac{2r\left(r-2\right)}{2\left(3s+2\right)\left(r_{s}-2s\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{r\left(r-2\right)}{\left(3s+2\right)\left(r_{s}-2s\right)}$$

Expand the expression.

$$\frac{r^{2}-2r}{3r_{s}s+2r_{s}-6s^{2}-4s}$$

Expand

$$\frac{r^{2}-2r}{\left(r_{s}-2s\right)\left(3s+2\right)}$$

Short Solution Steps

Multiply \frac{2r}{r_{s}-2s} times \frac{r-2}{6s+4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2r\left(r-2\right)}{\left(r_{s}-2s\right)\left(6s+4\right)}$$

Factor the expressions that are not already factored.

$$\frac{2r\left(r-2\right)}{2\left(3s+2\right)\left(r_{s}-2s\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{r\left(r-2\right)}{\left(3s+2\right)\left(r_{s}-2s\right)}$$

Expand the expression.

$$\frac{r^{2}-2r}{3r_{s}s+2r_{s}-6s^{2}-4s}$$