Question

HELP?!!

Combine as indicated by the signs.

1) http://i41.tinypic.com/14r4aq.png

Answer 1

I assume you know how to add fractions?

Answer 2

just the basic

Answer 3

ok... so you know what an lcd is? lcd or gcf is called often times too

Answer 4

yes, the least common denominator

Answer 5

\(\bf {\color{blue}{ a^2-b^2 = (a-b)(a+b)}}\\ \quad \\ \quad \\

\cfrac{4}{{\color{blue}{ y^2-9}}}+\cfrac{5}{y+3}\implies \cfrac{4}{{\color{blue}{ y^2-3^2}}}+\cfrac{5}{y+3}\implies \cfrac{4}{{\color{blue}{ (y-3)(y+3)}}}+\cfrac{5}{y+3}\\ \quad \\
\implies \cfrac{4}{(y-3)(y+3)}+\cfrac{5}{y+3}=\cfrac{}{(y-3)(y+3)}\)

Answer 6

so that'd be the lcd, then you can just divide by the denominators and add accordingly

Answer 7

so would the answer be 9/y^2 ?

Answer 8

hmmmm what did you get for the numerator?

Answer 9

9

Answer 10

recall that you have to divide each denominator by the LCD
then the result of that, will be multiplied by the numerator
and that will be the value that goes on the right side

then you do you the same for each fraction, in this case, both of them