Question

Simplify 3/x²+14x+48 divided by 3/10x+60

Answer 1

C. 10/x+8
The easy way to do it would be to take it one step at a time.

Answer 2

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)