Question

What is the simplified form of 3/2x-5+21/8x^2-14x-15? Please help.

Answer 1

is it
\[\frac{3}{2x+5}+\frac{21}{8x^2-14x-15}\] like that ?

Answer 2

Yea but its 2x-5

Answer 3

oh good
luckily the second denominator factors as
\[(2x-5)(4x+3)\] so you can use that as a common denominator

Answer 4

you get
\[\frac{3(4x+3)+21}{(2x-5)(4x+3)}\] then some algebra to clean up the numerator
you good from there ?

Answer 5

Yes thanks!

Answer 6

yw