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Sergio039 [100]
4 years ago
13

What is the difference (x/x^2+3x+2)-(1/(x+2)(x+1)

Mathematics
2 answers:
timama [110]4 years ago
8 0
Answer is D i believe
hodyreva [135]4 years ago
4 0

Answer:

Option D is correct

The difference of  \frac{x}{x^2+3x+2}- \frac{1}{(x+2)(x+1)} = \frac{x-1}{x^2+3x+2}

Step-by-step explanation:

To find the difference of the equation:

\frac{x}{x^2+3x+2}- \frac{1}{(x+2)(x+1)}             ....[1]

first multiply the terms

(x+2)(x+1) =(x^2+x+2x+2)

Substitute this in equation [1], we have

\frac{x}{x^2+3x+2}- \frac{1}{x^2+3x+2}

If the denominators are same, then we have

\frac{x+(-1)}{x^2+3x+2} = \frac{x-1}{x^2+3x+2}

Therefore, the difference of the given equation  \frac{x}{x^2+3x+2}- \frac{1}{(x+2)(x+1)} is,   \frac{x-1}{x^2+3x+2}




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