Equation simplification, can't get it right 1 x &#x2212;<

vaganzahi

vaganzahi

Answered question

2022-05-24

Equation simplification, can't get it right
1 x 1 x + 2 2 x 2 1
should be simplified into
x 2 + 3 x x 2 1 .
However, when I try to do it (tried several times), I fail to get it done right:
1 x 1 x + 2 2 x 2 1 = 1 x + 2 x 1 2 x 2 1
= x ( x + 2 ) 2 x 2 1 = x 2 + 2 x 2 x 2 1
What am I doing wrong?
Thanks a lot for the help

Answer & Explanation

Liberty Gates

Liberty Gates

Beginner2022-05-25Added 11 answers

x + 2 x 1 2 x 2 1 = x + 2 x 1 2 ( x 1 ) ( x + 1 ) = ( x + 2 ) ( x + 1 ) ( x 1 ) ( x + 1 ) 2 ( x 1 ) ( x + 1 ) = ( x + 2 ) ( x + 1 ) 2 ( x 1 ) ( x + 1 ) = x 2 + 3 x x 2 1 .

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