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Weekly Problem 2 - 2013

Weekly Problem 2 -2013

Weekly Problem 39 - 2009

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Show that $(1+x+y)^2-(1-x-y)^2$ is divisible by $4$ for all values of $x$ and $y$.

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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