Question

Anybody knows how to simplified rational expression : (x^2+2x)/(12x+54) - (3-x)/(8x+36)

Answer 1

\[\frac{x^2+2x}{12x-54}-\frac{3-x}{8x-36}\]

Answer 2

1. Change the minus sign to a plus sign and change the numerator of the second fraction to x-3
2. Factor the numerator of the first fraction and the denominators of both fractions.
Write both fractions with a common denominator.
3. Add the fractions.

Answer 3

4. simplify again, if possible

Answer 4

this is what I got: (x^2+7x-9)/ ((6)(2x+9) ..is this correct?

Answer 5

doesn't look like it.

Answer 6

After finding common denominators I have 2x(x+2)+3(x-3) / 12(2x+9)

Answer 7

hmm, I'm unsure how you are going from 12x-54 and 8x-36 as denominators to 12(2x+9)...

Answer 8

for the both demonstrators I have 6(2x+9) and 4(2x-9)

Answer 9

\[\frac{x^2+2x}{12x-54} -\frac{3-x}{8x-36} = \frac{x(x+2)}{6(2x-9)} + \frac{x-3}{4(2x-9)}\]

Answer 10

Yes that what I have!

Answer 11

and the common denominator is 2(2x-9)

Answer 12

(2x+9)

Answer 13

you need to be more careful with your signs...no, you just said you have "\(6(2x\color{red}{+}9) \)and \(4(2x-9)\)"
no, how are you changing the sign in the denominator?!?

Answer 14

12x-54
8x-36

no plus sign with the constant term in either one!

Answer 15

I meant 6(2x+9) and 4(2x+9) then common denominato= 2(2x+9)

Answer 16

where are you getting this +?!? the denominators have - signs in them!

Answer 17

12x-54 = 6(2x-9)
8x-36 = 4(2x-9)

Answer 18

I realized all of them are possitive.. not 12x-54.. instead 12+54 and 8x+36

Answer 19

well, were you planning to tell anyone else?

Answer 20

well, your answer will be simpler this way, at least!

Answer 21

I have to go to dinner. I'll check back later to see how you did. good luck.