Simplify please help me (x - 4)/(x + 6) - (x - 6)/(x + 4) ​

Question

Simplify please help me

`(x - 4)/(x + 6) - (x - 6)/(x + 4)`
​

Answer 1

i hope it will help you thank u

Answer 2

`(20)/(x^2 + 10x+24)`

Explanation:

common denominators : (x+6)(x+4)

numerators become difference of squares

`x^2 -16` and
`x^2-36`

`x^2 -16` -
`x^2-36` = 20

(x+6)(x+4) =
`{x^2 + 10x+24}`