Question

What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFraction x squared 4 x minus 1 Over x (x 2) EndFraction StartFraction x squared 4 x 1 Over x (x 2) EndFraction StartFraction 4 Over negative 1 (x squared x minus 2) EndFraction StartFraction x squared 6 x 1 Over x (x 2) EndFraction.

Answer 1

Answer:

B

Step-by-step explanation:

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Answer 2

The difference of the given fraction is expressed as $\frac{x^2+4x-1}{x(x+2)}$

Given the expression:

• $\frac{x+5}{x+2}-\frac{x+1}{x^2+2x}$

Take the LCM of the fraction to have:

$=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}$

Hence the difference of the given fraction is expressed as $\frac{x^2+4x-1}{x(x+2)}$

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