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expr=(2 (x1-x3) (x2^2-x3^2+y2^2-y3^2)+2 (x2-x3) (-x1^2+x3^2-y1^2+y3^2))/
  (4 (x3 (y1-y2)+x1 (y2-y3)+x2 (-y1+y3)));

Through[{Simplify,FullSimplify,Cancel}[expr]]

Obvious, this algebraic expression could be cancel common factors 2, I have tried Simplify, FullSimplify and Cancel, FullSimplify doesn't know simplify it, Cancel make it more complicated. enter image description here

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  • $\begingroup$ I usually use Factor in such situations. $\endgroup$
    – Somos
    Commented Jun 17, 2019 at 10:39

1 Answer 1

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Try

expr // Together

which eleminates Factor 2

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