Question

How do you subtract `\frac { - 3 x + 5 } { 2 x - 3 } - \frac { 3 x - 4 } { 2 x - 3 }`?

Answer 1

`(-3x+5)/(2x-3)-(3x-4)/(2x-3) =color(green)(""(-3))`

Explanation:

Since the denominators are identical:
`(color(red)(-3x+5))/(2x-3)-(color(blue)(3x-4))/(2x-3)`
`color(white)("XXX")=(color(red)(-3x+5)-(color(blue)(3x-4)))/(2x-3)`

`color(white)("XXX")=(color(red)(-3x)-color(blue)(3x)+color(red)5+color(blue)(4))/(2x-3)`

`color(white)("XXX")=(-6x+9)/(2x-3)`

`color(white)("XXX")=((-3)(2x-3))/(2x-3)`

`color(white)("XXX")=(-3)`