Answer:
[8k^3] / (k+5), perhaps the choice is A. with that +3 being a typo.
Step-by-step explanation:
k^3/(k+5) + (7k^3)/(k+5) = [k^3 + (7k^3)] / (k+5)
k^3/(k+5) + (7k^3)/(k+5) = [8k^3] / (k+5) ? not in the choices.
there is a typo...
could it be: (k^3/k) +5 + (7k^3)/(k+5) =
(k^3/k) +5 + (7k^3)(k+5) = k^2 + 5 + (7k^3)/(k + 5)
= [k^2 *(k + 5)] /(k + 5) + 5 * (k + 5)/(k + 5) + (7k^3)/(k + 5)
= [k^3 + 5k^2)] /(k + 5) + 5k + 25)/(k + 5) + (7k^3)/(k + 5)
= (8k^3 + 5k^2 + 5k + 25)/ (k + 5) but still not an answer choice....
...
k^3 /( k + 5) + [(7k^3)/k] + 5
k^3 /( k + 5) + (7k^2) + 5
k^3 /( k + 5) + (7k^2)*(k + 5)/(k+5) + 5(k + 5)/(k + 5)
= k^3 /( k + 5) + ((7k^3) + 35k^2)/(k+5) + 5(k + 5)/(k + 5) nope...