Question

How do you simplify 3x+13x-33/x^2-11x

Answer 1

well I would first split the fraction up

using the rule

(x+y)/dc = x/dc + y/dc

Answer 2

then factor

Answer 3

you follow?

Answer 4

I understand what your saying, but how do I split it?

Answer 5

You can't split denominators though remember. A common mistake is

xy/(d+c) =/= xy/d + xy/c (You cannot do this!!!!)

Answer 6

(3x+13x-33)/x^2-11x
=

3x/(x^(2)-11x) + 13x/(x^(2)-11x) - 33/(x^(2)-11x)

Answer 7

its just like adding or subtracting fractions with the same denominator but in reverse :)

Answer 8

now you can simply factor the denominator and you will be able to simplify the fractions further

Answer 9

do you follow?

Answer 10

not really :/

Answer 11

Do you see why

3x/(x^(2)-11x) + 13x/(x^(2)-11x) - 33/(x^(2)-11x)
=
3x+13x-33/x^2-11x

Answer 12

I'm assuming your problem is