Question

Which of the following is equivalent to (5 /k) + ((k + 3) /(k + 5)) ?

A. (k +8) /(2k + 5)
B. (k + 8) /k(k + 5)
C. 5(k + 3) /k(k + 5)
E. (k^2+ 8k + 25) /k(k + 5)

Answer 1

E is the answer.

Explanation:

Answer 2

`(5)/(k)+(k+3)/(k+5)=(5(k+5))/(k(k+5))+(k(k+3))/(k(k+5))=(5k+25+k^2+3k)/(k(k+5))=(k^2+8k+25)/(k(k+5))\\\\Answer:E`