Question

PLEASE HELP

What is the difference ? x+5/x+2 -x+1/x^2+2x
A. x^2+4x-1/x(x+2)
B. x^2+4x+1/x(x+2)
C. 4/-1(x^2+x-2)
D. x^2+6x+1/x(x+2)

Answer 1

A. (x^2+4x-1)/(x(x+2))

Explanation:

`(x+5)/(x+2)-(x+1)/(x^2+2x)=(x(x+5))/(x(x+2))-(x+1)/(x(x+2))=(x(x+5)-(x+1))/(x(x+2))\\\\=(x^2+5x-x-1)/(x(x+2))=(x^2+4x-1)/(x(x+2))`

... matches choice A.