Homework Help: Algebra

Posted by Mystery on Thursday, July 8, 2010 at 4:05am.

Simplify the complex rational expression

3/(x+5)+ 6/(x+3) ÷ (3x+13)/(x^2+8x+15)

(please show steps i already know the answer i need to know the steps)

Algebra - drwls, Thursday, July 8, 2010 at 7:16am
Use the fact that
(x^2+8x+15) = (x+5)(x+3)

Muliply numerator and denominator by that and you will get some big simplifications.

[3(x+3) + 6(x+5)] /(3x +13)
= (9x + 39)/(3x +13)

Do you see another simplication? Factor out "3" in the numerator.

Answer this Question

Related Questions

Algebra - Divide the rational expression. Express the quotient as a rational ...
algebra 2 - 1.Simplify the difference. n^2 - lOn+24 9 / n^2 - 13n + 42 — 7...
Math - Simplify that rational expression. Please show the steps x^3-8/x^2-4
Math - 3x-4 to y+15 is constant and y=3 when x=2 then when y=12, x equals? My ...
math - application of the laws of exponent show different ways of simplifying ...
math - How would you simplify this rational expression: Can you please show me ...
8th Grade Algebra: Answer Check - Find the length of the 3rd side of each right ...
Math - Simplify each rational expression. Can you please show me the steps on ...
Math - Factor each expression. Please show me how to do it. Thanx 8x^2-10x+3 15X...
I NEED HELP (ALGEBRA) - Simplify the expression. Write your answer using only ...

For Further Reading

First Name:
School Subject:
Answer: