Answer:
(2x + 28) / (x^2 + 7x + 10)
Explanation:
to subtract, you need to have a common denominator
the easiest way to accomplish this is to multiply each fraction by the "missing" denominators so they match:
[ 8(x+5) / (x+2)(x+5) ] - [ 6(x+2) / (x+2)(x+5) ] =
now that the denominators are the same, you can subtract
8(x+5) - 6(x+2) / (x+2)(x+5)
and simplify:
(8x + 40 - 6x - 12) / (x^2 + 7x + 10)
(2x + 28) / (x^2 + 7x + 10)
that's enough, but you can simplify further:
2(x+14) / (x^2 + 7x + 10)