What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFract

Question

2 years ago

11

What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFract

ion 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.

Mathematics

2 answers:

9966 [12] · Answer 1 · 2023-03-11T12:37:48+03:00

9966 [12]2 years ago

8 0

Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge

Troyanec [42] · Answer 2 · 2023-03-11T10:32:46+03:00

Troyanec [42]2 years ago

7 0

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

Learn more on fractions here; brainly.com/question/78672