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20 votes
Simplify the complex rational expression

Simplify the complex rational expression-example-1

2 Answers

10 votes

Answer:

2( x +2 )

x+1

Explanation:

to add or subtract expressions expand them to make their denominators the same, multiply 1 time
(x-2)/(x-2)

since
(x)/(x-2) and
(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
(2x-2)/(x-2) by
(-1 + x^(2) )/((x-2)(x+2) ) multiplying
(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

User Jutky
by
8.5k points
8 votes

Answer:


2(x+2)/x+1

Explanation:

User Wthamira
by
7.7k points

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