Algebra
posted by Julie on .
Divide the rational expression. Express the quotient as a rational expression in lowest terms.
(x^2+10x+21)/(x^2+11x+28) ÷ (x^2+3x)/(x^2+11x+28)
(i really need to know the steps on how to do this (please just don't give me the answer i already know it)

Rewrite as a product by inverting the denomimator
[(x^2+10x+21)/(x^2+11x+28)] * [(x^2+11x+28)/(x^2+3x)/]
Cancel out the (x^2+11x+28)] terms which appear in both numerator and denominator.
(x^2+10x+21)/(x^2+3x)
Factor numerator and denomimator. Note that (x+3) is a factor of both. Cancel it out.
[(x+7)(x+3)]/[x*(x+3)]
(x+7)/x 
THANK YOU SO MUCH!!!! I KEPT TRYING TO DIVIDE EVERYTHING BY THE LCD BUT I JUST KEPT GETTING CONFUSED!