Question

Simplify the expression ​

Answer 1

`(2*x - 2)/(2*x) - (3*x + 2)/(4*x) = (x - 6)/(4*x)`

Explanation:

We have the expression:

`(2*x - 2)/(2*x) - (3*x + 2)/(4*x)`

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

`((2)/(2) )(2*x - 2)/(2*x) - (3*x + 2)/(4*x) = (4*x - 4)/(4*x) - (3*x + 2)/(4*x)`

Now we can directly add the terms to get:

`(4*x - 4)/(4*x) - (3*x + 2)/(4*x) = (4*x - 4 - 3*x - 2)/(4*x) = (x - 6)/(4*x)`

We can't simplify this anymore