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Question

Find the value of:
(2017220162)+(20172+20162+4034×2016)(60332+200026033×4000)

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Solution

(2017220162)+(20172+20162+4034×2016)
(60333+200026033×4000)
Apply a2+b2+2ab=(a+b)2
a2+62+2ab=(ab)2
a2b2=(a+b)(ab)
(2017+2016)(20172016)+(2017+2016)2(6033200)2
=4033+(4033)2(4033)2
=4033

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