Posted by **Julie** on Thursday, July 8, 2010 at 4:11am.

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)

- Algebra -
**drwls**, Thursday, July 8, 2010 at 5:15am
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

- Algebra -
**Julie**, Thursday, July 8, 2010 at 5:39am
THANK YOU SO MUCH!!!! I KEPT TRYING TO DIVIDE EVERYTHING BY THE LCD BUT I JUST KEPT GETTING CONFUSED!

## Answer This Question

## Related Questions

- Algebra 1b! - 1. Find the excluded value of x for the polynomomial expression ...
- Intermediate Algebra (math) - (8x^2y^2+4xy^2-12y^2) ÷ 4xy^2 I received this ...
- Intermediate Algebra (math) - (8x^2y^2+4xy^2-12y^2) ÷ 4xy^2 I received this ...
- ALGEBRA 1 - I need to simplify a rational expression. 2xsquared+11x-6/x+6
- College Algebra - I need some help with a few problems. They are multiple choice...
- Intermediate Algebra - what is the meaning term rational expression Please give ...
- Algebra II - I have some questions on my assignment, if you don't mind could you...
- College Algebra - I posed these one's before but added parenthesis which I ...
- College Algebra - I posed these one's before but added parenthesis which I ...
- Algebra - I need to make sure this is correct. 5/2x+1/4x=11/4+x 4(5/2x+1/4x=11/4...

More Related Questions