Question

How do I simplify: (x^2+5x+6/x^2-3x+2) / (x+3/x-1) - (6/x+3)?

Answer 1

x^2 + 5x + 6 x+3 6
----------- / ------ - -----
x^2 - 3x + 2 x-1 x+3

Answer 2

I tried factoring it and cancelling x-1 and x+3 and i got this:

x+2 6
---- - ----
x-2 x+3

Answer 3

your math teacher must hate you

Answer 4

but you are right so far. go to
\[\frac{(x+2)(x+3)-6(x-2)}{(x-2)(x+3)}\] then multiply out in the numerator

Answer 5

or cheat, which is easier
http://www.wolframalpha.com/input/?i=+%28%28x%5E2%2B5x%2B6%29%2F%28x%5E2-3x%2B2%29%29+%2F+%28%28x%2B3%29%2F%28x-1%29%29

Answer 6

ohhh, i see. I get it now, thanks!

Answer 7

yw