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Question

Using identities ,evaluate 71 square

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Solution

We can write
71 as 70+1
So
71 squared equals left parenthesis 70 plus 1 right parenthesis squared n o w space w e space c a n space u s e space space left parenthesis a plus b right parenthesis squared equals a squared plus 2 a b plus b squared a equals 70 b equals 1 left parenthesis 70 plus 1 right parenthesis squared equals 70 squared plus 2 cross times 1 cross times 70 plus 1 squared space space space space space space space space space space space space space space space space equals 4900 plus 140 plus 1 space space space space space space space space space space space space space space space space space equals 5041

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