Solve sx+2sy-tx-2ty/2sx+4sy+tx+2ty

$$\frac { s x + 2 s y - t x - 2 t y } { 2 s x + 4 s y + t x + 2 t y }$$

Evaluate

$$\frac{s-t}{2s+t}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out x+2y in both numerator and denominator.

$$\frac{s-t}{2s+t}$$

Expand

$$-\frac{t-s}{2s+t}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out x+2y in both numerator and denominator.

$$\frac{s-t}{2s+t}$$