simplify: 4 - 2
--- ---
x-y y-x

a)-6
----
x-y

b)-2
----
x-y

c) 2
----
x-y

d) 6
----
x-y

e) 6
----
x^2-y^2

Question

simplify: 4 - 2
             ---  ---
             x-y   y-x

a)-6
  ----
   x-y

b)-2
  ----
   x-y

c) 2
 ----
  x-y

d) 6
  ----
   x-y

e) 6
 ----
x^2-y^2

jim_thompson5910 · Answer

Sorry, for some reason the equation editor is not working. The answer comes out to D)


Here's my work (it looks better with the equation editor working)

$$\frac{4}{x-y}-\frac{2}{y-x}$$

 $$\frac{4}{x-y}-\frac{2}{-1(-y+x)}$$

 $$\frac{4}{x-y}-\left(-\frac{2}{x-y}\right)$$ 

$$\frac{4}{x-y}+\frac{2}{x-y}$$ $$\frac{4+2}{x-y}$$

 $$\frac{6}{x-y}$$ 

So $$\frac{4}{x-y}-\frac{2}{y-x}=\frac{6}{x-y}$$ So the answer is choice D)

anonymous · Answer

thanks