Question

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

Answer 1

factorise both denominators if possible

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

so the 1st fraction needs to be multiplied by (4x -3)/(4x -3) to get the common denominator

which will be

[3(4x - 3) + 21]/[(2x -5)(4x -3)]

you can expand the to get the simplified version

Answer 2

Can you explain it in a little more detail, please