Question

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

A- 4/x-2
B- 3x/x+1
c- 10/x+8
D- x-4

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

`(3/x^2+14x+48)/(3/10x+60)`

=
`(3* (10x+60))/(3* (x^2+14x+48))`

=
`(10x+60)/(x^2+14x+48)`

=

`(10x+60)/(x^2+6x+8x+48)\\ \\=(10x+60)/(x(x+6)+8(x+6))\\ \\=(10(x+6))/((x+6)(x+8))\\ \\=(10)/(x+8)`

Hence, Correct option is:

C- 10/(x+8)