How do you simplify # ((3x)/y -x/1) / ((2y)/1 - y/x)#?

1 Answer
Mar 24, 2018

#((3x/y)-(x/1))/((2y/1)-(y/x))=(x^2(3-y))/(y^2(2x-1))#

Explanation:

[0]#((3x/y)-(x*y/(1*y))) /((2y*x/(1*x))-(y/x))=((3x/y)-(xy/y))/((2xy/x)-(y/x))#
[1]#((3x-xy)/y)/((2xy-y)/x)#
When you divided, you can also say that you multiply by the inverse.
[2]#(x(3-y))/y*x/(y(2x-1))#
[3]#(x^2(3-y))/(y^2(2x-1))#
\o/ here's the answer !