Question: 50,002 squared

Comment on 50,002 squared

yogasuhas - June 11, 2017
(50002)^2 - (49998)^2
Let 50002 = x
So 49998 = x-4

So, 50002^2 = x^2
And 49998^2 = (x-4)^2 = (x^2 - 8x + 16)

So, (50002)^2 - (49998)^2 = x^2 - (x^2 - 8x + 16)
= 8x - 16
= 8(50002) - 16
= 400000
greenlight-admin's picture

greenlight-admin - June 11, 2017

Great approach!!

ALAA ALHARBI - June 12, 2021
also, there is another way to solve
(50002)^2-(49998)^2
=(50000+2)^2-(50000-2)^2
=(50000+2+50000-2)(50000+2-50000+2)
=(50000+50000)(2+2)
=(100000)(4)
=400000
greenlight-admin's picture

greenlight-admin - June 12, 2021

Beautiful! Nice work!

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