Verified Answer :

C10/x+8
The easy way to do it would be to take it one step at a time.

Answer with Step-by-step explanation:

3/x²+14x+48 divided by 3/10x+60 is equal to

\(\dfrac{3/x^2+14x+48}{3/10x+60}\)

=\(\dfrac{3\times (10x+60)}{3\times (x^2+14x+48)}\)

=\(\dfrac{10x+60}{x^2+14x+48}\)

=

\(\dfrac{10x+60}{x^2+6x+8x+48}\\ \\=\dfrac{10x+60}{x(x+6)+8(x+6)}\\ \\=\dfrac{10(x+6)}{(x+6)(x+8)}\\ \\=\dfrac{10}{x+8}\)

Hence, Correct option is:

C- 10/(x+8)