Soviet Union | Math Olympiad Question | Calculators not allowed

Maths Olympiads are held all around the world to recognise students who excel in maths. The test is offered at many grade levels and provides them with numerous possibilities to win certifications, awards, and even scholarships for higher studies.

[ronaldtownsend]

That's the long way around. The original problem is the difference of two squares. (20^20 - 4) = (20^10 - 2)(20^10 + 2) = (1024 -2)(1024 + 2) = (1022)(1026) = 1, 048, 572. Now wasn't that easy.

[AsadbekIbadullaev-xd]

I calculated it at calculator and it is 100 percent true

[danieldennis]

I know it's 1, 048, 572 but that's because I know what 2^20 is. I guess you could go 2^20-2^2 2^18(2^2-2^0) but that doesn't speed it up. I guess we'll watch the video.

[srikantaization]

IT WOULD HAVE BEEN EASIER HAVING 2 BEING MULTIPLIED 20 TIMES AND THEN SUBTRACT 4.

[RudraHazra-riev]

2^x+2=4^2x+3 can you solve this problem? #request#

[shreenithilaam]

Will this easy squaring method work for 3 digit numbers, e.g. 192^2

[ratnadewiko]

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