Question

How do I solve this rational expression?
(x/4x-8)-(3x+1/3x-6)

Answer 1

this is the question ?

Answer 2

(x/(4x-8))-(3x+1)/(3x-6)

Answer 3

yes @Coolsector

Answer 4

so common denominator:

[x(3x-6) - (3x+1)(4x-8)]/[(3x-6)(4x-8)] =
(3x^2-6x - 12x^2-4x+24x+8) / [(3x-6)(4x-8)] =
(-9x^2+14x+8) / [(3x-6)(4x-8)] =
(-9x^2 + 18x - 4x + 8) / [(3x-6)(4x-8)] =
(-9x(x+2)-4(x-2)) / [(3x-6)(4x-8)] =
(-9x-4)(x-2)/[(3x-6)(4x-8)] =
(-9x-4)(x-2) / [4(3x-6)(x-2)] =
-(9x+4) /[12(x-2)]

and x is not 2.

Answer 5

@Katelynmorris here is a general procedure for solving rational expressions. \[\frac{ a }{ b }-\frac{ c }{ d } = \frac{ ad-bc }{ bd }\]

Answer 6

Did you solve it yet? @Katelynmorris

Answer 7

Not yet.

Answer 8

Okay.