## anonymous 3 years ago what is the simplified form of (5)/(3y+2)-(4)/(9y^2-4)? Any help with this problem would be greatly appreciated!!!

1. anonymous

start with $\frac{5}{3y+2}-\frac{4}{(3y+2)(3y-2)}$ then see that the last common multiple of the denominators is $$(3y+2)(3y-2)$$

2. anonymous

go to $\frac{5(3y-2)-4}{(3y+2)(3y-2)}$ and finish by multiplying out in the numerator, and combine like terms

3. anonymous

okay that makes sense thankyou