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Question

Evaluate 422


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Solution

Use: a+b2=a2+b2+2ab

Given 422

Since, 422 can be written as 40+22

So, applying

a+b2=a2+b2+2ab, we get

40+22=402+22+2402=1600+4+160=1764

Hence, 422 is equal to 1764.


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