Question

How do you simplify `\frac { 2x - 3} { 4x ^ { 2} + 4x } - \frac { 4} { 2x }`?

Answer 1

`(-6x-11)/(4x(x+1))`

Explanation:

First, let's factor `4x^2+4x=4x(x+1)` and substitute:

`(2x-3)/(4x(x+1))-4/(2x)`

`=(2x-3-4*2*(x+1))/(4x(x+1))`

`=(2x-3-8x-8)/(4x(x+1))`

`=(-6x-11)/(4x(x+1))`