Question

How do you simplify `(8x^2)/(25x^2-36)-1/(10x+12)`?

Answer 1

`=(16x^2-5x+6)/(2(5x+6)(5x-6)`

Explanation:

`8x^2/(25x^2-36)-1/(10x+12`
`=8x^2/((5x)^2-(6)^2)-1/(2(5x+6))`
`=8x^2/((5x+6)(5x-6))-1/(2(5x+6))`
`=(16x^2-(5x-6))/(2(5x+6)(5x-6)`
`=(16x^2-5x+6)/(2(5x+6)(5x-6)`