AlgebraDifficulty 1.0Prove itUKMT Senior Kangaroo · United Kingdom · 2025
What is the value of 1000(2025+20)2+(2025+25)2−(2025−20)2−(2025−25)2, rounded up to the next integer?
This one wants a proof. Work it on paper, then check yourself against the publisher's own solution, linked below. Be honest about it: the record is only any use to you if it is.