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2008 AMC 10B Question 5

AMC10 · 2008 AMC 10B

Question 5

For real numbers $a$ and $b,$ define $a\,\$\,b=(a-b)^2.$ What is $(x-y)^2\,\$\,(y-x)^2?$
  1. $0$
  2. $x^2+y^2$
  3. $2x^2$
  4. $2y^2$
  5. $4xy$