Question

Simplify the complex rational expression

Answer 1

Answer:

2( x +2 )

x+1

Step-by-step explanation:

to add or subtract expressions expand them to make their denominators the same, multiply 1 time $\frac{x-2}{x-2}$

since $\frac{x}{x-2}$ and $\frac{x-2}{x-2}$ have the same denominators add them by adding their numerators

combine x + x -2

factor $x^{2}$ - 4

to add or subtract expressions expand them and multiply by 1

have same denominator add them by adding their numerators

do the multiplications in 3 + ( x-2 )(x+2)

combine like terms in 3 + $x^{2}$ + 2x - 2x -4

divide $\frac{2x-2}{x-2}$ by $\frac{-1 + x^{2} }{(x-2)(x+2) }$ multiplying $\frac{2x-2}{x-2}$

cancel out x-2 in both numerator and denominator

factor the expression that are not already factored

cancel out x-1  in both numerator and denominator

expand the expression

Answer 2

Answer:

$2(x+2)/x+1$

Step-by-step explanation: