## Add the following rational expression k^3/k+5 + (7k^3)/k+5 = A.) 8k^3+3/k+5 B.) 23k^3+7/3k+10 C.) 6(3k+

Question

Add the following rational expression k^3/k+5 + (7k^3)/k+5 =

A.) 8k^3+3/k+5

B.) 23k^3+7/3k+10

C.) 6(3k+1)/3k+4

D.) 20k^3+1/k+8

in progress 0
1 week 2021-10-10T03:31:32+00:00 1 Answer 0

[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…