SOLUTION: How do I add these rational expressions? 2 / y

SOLUTION: How do I add these rational expressions? 2 / y - 1 + 2 / y + 1 ?

Question 40848: How do I add these rational expressions? 2 / y - 1 + 2 / y + 1 ?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
2 / (y - 1) + 2 / (y + 1)
For this, you first determine the lowest common denominator and then multiply each fraction in such a way that the denominators becomes that LCD...in this case, the LCD is (y - 1)(y + 1)...
We multiply the first by (y + 1) / (y + 1)
and the second by (y - 1) / (y - 1) and get
2(y + 1) / (y - 1)(y + 1) + 2(y - 1) / (y - 1)(y + 1) =
[2(y + 1) + 2(y - 1)] / (y - 1)(y + 1) =
4y / (y - 1)(y + 1)
The easiest way is to apply the criss-cross method...
A/B + C/D = (AD + BC) / BD
RELATED QUESTIONS
How do you add rational expressions when one of he denominators is a trinomial and one is (answered by ankor@dixie-net.com)

Add the following rational expressions... (answered by MathLover1)

Rational Expressions : {(y/(y^2 - 1)}-{y/(y^2-2y+1)}(y-1/y+1) problem in doing the... (answered by ewatrrr)

I just can't seem to get the simplifying of rational expressions. Can you show me how to (answered by jsmallt9)

this has to do with rational expressions. 2y + 1 over y^2 - y - 6 numbers that... (answered by ankor@dixie-net.com)

Rational Expressions using -1 as a factor How do I solve 4-xsquared over... (answered by troyapplehelen)

1/x^2-1/y^2/1/y^3-1/xy^2 simplify this complex rational... (answered by Fombitz)

How do I rewrite rational expressions in terms of a common denominator? 5x-1/4x(2x+1),... (answered by rothauserc)

y-3/2 +y/5 =3- y+1/6 solve rational expression? do i find lcd? (answered by Alan3354,MathLover1)