Question

X^2+5X+6/X^2-6X+5 x X^2+X-30/X^2+9X+18

Answer 1

Rational Expressions...Can I get a step by step procedure to solve this please.

Answer 2

All the numerators and denominators can be factorised. This is the first step.
For example can you factorise the following:
\[x ^{2}+5x+6=(x+?)(x+?)\]

Answer 3

x2+5x+6=(x+3)(x+2)

Answer 4

Good! So can you factorise the other terms?

Answer 5

so after i do that, what is the next step?

Answer 6

You will find that six of the factors will cancel and you will be left with an expression of the form:
\[\frac{x+?}{x-?}\]

Answer 7

Oh wow, I feel so stupid haha. Thanks. I did a very similar problem yesterday and the method just slipped out of my mind.

Answer 8

You're welcome :)