Question

What is the simplified form of 3/4x+3 + 21/8x^2-14x-15 ?

Answer 1

well you'll need to factor the 2nd denominator

\[\frac{3}{4x + 3} + \frac{21}{(2x - 5)(4x + 3)}\]

you'll need a common denominator of

\[(2x -5)(4x + 3)\]

so multiply the 1st term by

\[\frac{(2x -5)}{(2x -5)} \]

and then add

which will give

\[\frac{3}{(4x + 3)} \times \frac{(2x -5)}{2x -5)} + \frac{21}{(2x -5)(4x + 3)}\]

just simplify for your answer.

Answer 2

6(2x+5)/(2x-5)(4x+3) ?

Answer 3

not quite you need to check the numerator

I think its 6x - 15 + 21 = 6x + 6 = 6( x+1)