Splitting fractions with a linear denominator: 2 x &#x2212;<!-- − --

orlovskihmw

orlovskihmw

Answered question

2022-07-02

Splitting fractions with a linear denominator: 2 x 1 x + 2
How can
2 x 1 x + 2
be split to give
A B x + 2
where A and B are integers?
The solution is
2 5 x + 2 .

Answer & Explanation

Ronald Hickman

Ronald Hickman

Beginner2022-07-03Added 18 answers

Observe that if you set
y = x + 2 , x = y 2 ,
then you get
2 x 1 x + 2 = 2 ( y 2 ) 1 y = 2 y 5 y = 2 5 y = 2 5 x + 2
as wanted.
Aganippe76

Aganippe76

Beginner2022-07-04Added 4 answers

2 x 1 x + 2 = 2 ( x + 2 ) 5 x + 2 = 2 ( x + 2 ) x + 2 5 x + 2 = 2 5 x + 2

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