Algebra
posted by Julie .
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!
Respond to this Question
Similar Questions

Algebra II
I have some questions on my assignment, if you don't mind could you look over my answers. thanxs! Find all the numbers that must be excluded from the domain of the rational expression. x+8/x^216, my answer: x cant be 4 or 4 x3/x^2+11x+24, … 
ALGEBRA 1
I need to simplify a rational expression. 2xsquared+11x6/x+6 
Intermediate Algebra
what is the meaning term rational expression Please give me an example how to divide rational expressions 
Urgent Math please check
Very Important I can get someone to check these for me... I have to get an A, and I was wondering if someone could double check these for me. I am about 95% sure they are right, but just need a fresh set of eyes. I know I've been sending … 
College Algebra
I need some help with a few problems. They are multiple choice but need a breakdown on how I can work the problems. Thanks for your help! 1. Factor the trinomial completely. 10x^2 + 11x6 a. (2x+3)(5x2) b. (2x3)(5x+2) c. (10x+3)(x2) … 
College Algebra
I posed these one's before but added parenthesis which I think made it confusing as the actually questions do not have them. So, I'm reposting them without to see if it makes sense. If not I understand. 1. Compute as indicated. Write … 
College Algebra
I posed these one's before but added parenthesis which I think made it confusing as the actually questions do not have them. So, I'm reposting them without to see if it makes sense. If not I understand. 1. Compute as indicated. Write … 
Algebra 1b!
1. Find the excluded value of x for the polynomomial expression 4x/6 a. 6 b. 6 c. 1/6 d. 1/6 2. Simplifly 32x/7 + 4x+5/7 a. 2x+8/14 b. 2x+8/7 < c. x+1/7 d. 2x+2/7 3. Simplify 6ab^6/4a^7b^10 * a^3b^4/2a^7b^6 a. 7x/8  2x/8 … 
Intermediate Algebra (math)
(8x^2y^2+4xy^212y^2) ÷ 4xy^2 I received this problem. I was told to divide the rational expression. The problem I am having is I feel like something is missing. I only understand to divide rational expressions we take the first rational … 
Intermediate Algebra (math)
(8x^2y^2+4xy^212y^2) ÷ 4xy^2 I received this problem. I was told to divide the rational expression. The problem I am having is I feel like something is missing. I only understand to divide rational expressions we take the first rational …