What is the difference?

StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction

options

A) StartFraction x minus 1 Over 6 x + 4 EndFraction

B) StartFraction negative 1 Over 4 x + 2 EndFraction

C) StartFraction 1 Over x + 2 EndFraction

D) StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction

Question

Tomas Bass

Mathematics

13 March, 05:44

What is the difference?

StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction

options

A) StartFraction x minus 1 Over 6 x + 4 EndFraction

B) StartFraction negative 1 Over 4 x + 2 EndFraction

C) StartFraction 1 Over x + 2 EndFraction

D) StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction

+3

Answers (1)

Know the Answer?

Emmy Lin · Answer 1

D

Step-by-step explanation:

x / (x²+3x+2) - 1/[ (x+2) (x+1) ]

x² + 3x + 2 = x² + 2x + x + 2

= x (x + 2) + (x + 2)

= (x + 2) (x + 1)

= x/[ (x+2) (x+1) ] - 1/[ (x+2) (x+1) ]

= (x-1) / [ (x+2) (x+1) ]

= (x-1) / (x²+3x+2)