Question

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

Answer 1

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

Answer 2

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

Answer 3

okay that makes sense thankyou