SOLUTION: I need to simplify the following {{{ (((a^2+b^2)/b)+2a)/(1+(a/b)) }}} simplified to a+b. I need to show my steps in doing this, but I'm not completely sure. I know that the top wil

Question 82867: I need to simplify the following simplified to a+b. I need to show my steps in doing this, but I'm not completely sure. I know that the top will become (a+b)^2, but i do know that the bottom must come out to (a+b), but i do not know the process for this. Please assist me.
Found 2 solutions by kev82, jim_thompson5910:
Answer by kev82(151) (Show Source): You can put this solution on YOUR website!
What do you get if you multiply both the top and bottom by b? Try that and if you're still stuck then write back.

Hope that helps,
Kev
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Convert 2a into

Combine the fractions in the numerator

Factor

make 1 into

Combine the fractions in the denominator

Multiply the fractions
Cancel out the b terms

Expand
Cancel like terms

So we're left with . In other words,

reduces to

RELATED QUESTIONS
I need help on constructing the proof to make the argument valid. The Commas are the... (answered by math_helper)
Hi can you help me with this problem? The problem is a^2-2a / 4-2a.I need to simplify... (answered by ankor@dixie-net.com)
a^2m * b^m+1 over a^m *b i need to simplify this. i know a^2m simlifies to a^m but i dont (answered by ilana)
Algebraic fraction help? What is the fraction in its lowest terms? (a^3 - b^3) / ((a^3 *... (answered by MathTherapy)
I need to factor and I do not understand this equation, please help... (answered by stanbon)
Hi, I need help on these expressions because i have done it several times but keep... (answered by solver91311)
Please list the steps to Simplify the below problem? I come up with 2a after... (answered by math_tutor2020,greenestamps,MathTherapy)
Hi agian, I have asked this question on a number of occasions but have so far only... (answered by Alan3354)
Hi I am in Pre Calc with Trig, and I know there isn't a section for this, but I was... (answered by stanbon)