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IMAS 2015/2016 Junior Round 2 Question 3

IMAS · IMAS 2015/2016 Junior Round 2

Question 3

Which of the following is equal to $xr+ys$ if $r=3x+2y$ and $s=xy-x-y$?
  1. $x^2y-x^2+2xy+2y^2$
  2. $xy^2+3x^2+xy-y^2$
  3. $x^2y+2x^2+xy$
  4. $xy^2+2x^2+2xy$
  5. $x^2y^2+x+y$