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Studentka2010 [4]
3 years ago
10

What is the difference?

Mathematics
1 answer:
Ganezh [65]3 years ago
7 0

Answer:

\frac{x^2+4x-1}{x(x+2)}

Step-by-step explanation:

Given

\frac{x+5}{x+2} - \frac{x+1}{x^2+2x} ← factor denominator

= \frac{x+5}{x+2} - \frac{x+1}{x(x+2)}

We require the fractions to have a common denominator.

Multiply numerator/denominator of first fraction by x

= \frac{x(x+5)}{x(x+2)} - \frac{x+1}{x(x+2)}

Subtract terms on numerator leaving the common denominator

= \frac{x^2+5x-x-1}{x(x+2)}

= \frac{x^2+4x-1}{x(x+2)}

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