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
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Subject:
Mathematics -
Author:
silky -
Created:
7 months ago
Answers 3
Answer:
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)
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Author:
schnookums0usk
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Rate an answer:
18
The difference of rational polynomial function is \frac{x-1}{x^{2} +3x+2}
Given expression is,
\frac{x}{x^{2} +3x+2}-\frac{1}{(x+2)(x+1)}
(x+2)(x+1)=x^{2} +2x+x+2=x^{2} +3x+2
Given expression can be written as,
\frac{x}{x^{2} +3x+2}-\frac{1}{x^{2} +3x+2} =\frac{x-1}{x^{2} +3x+2}
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Author:
melanyg0ac
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Rate an answer:
10
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