Question

(x - 4)/(x + 6) - (x - 6)/(x + 4)​

Answer 1

`(20)/((x+4)(x+6))`

Explanation:

assuming you require the expression simplified

`(x-4)/(x+6)` -
`(x-6)/(x+4)`

multiply the numerator/denominator of the first fraction by (x + 4)

multiply the numerator/denominator of the second fraction by (x + 6)

=
`((x-4)(x+4))/((x+4)(x+6))` -
`((x-6)(x+6))/((x+4)(x+6))` ← expand and simplify numerators leaving the common denominator

=
`(x^2-16-(x^2-36))/((x+4)(x+6))`

=
`(x^2-16-x^2+36)/((x+4)(x+6))`

=
`(20)/((x+4)(x+6))`