whole square of 201
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Answered by
1
Answer:(201)²= 40401
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Step-by-step explanation:
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For quick reference,
![{(201)}^{2} \: = \: 201 \times 201 \: = \: 40401 {(201)}^{2} \: = \: 201 \times 201 \: = \: 40401](https://tex.z-dn.net/?f=+%7B%28201%29%7D%5E%7B2%7D++%5C%3A++%3D+%5C%3A++201+%5Ctimes+201++%5C%3A+%3D++%5C%3A+40401)
We have,
![\quad {(201)}^{2} \\ \\ = {(200 + 1)}^{2} \\ \\ = {(200)}^{2} + 2(200)(1) + {(1)}^{2} \\ \\ = 40000 + 400 + 1 \\ \\ = \bf \: \: 40401 \quad {(201)}^{2} \\ \\ = {(200 + 1)}^{2} \\ \\ = {(200)}^{2} + 2(200)(1) + {(1)}^{2} \\ \\ = 40000 + 400 + 1 \\ \\ = \bf \: \: 40401](https://tex.z-dn.net/?f=+%5Cquad++%7B%28201%29%7D%5E%7B2%7D++%5C%5C++%5C%5C++%3D++%7B%28200+%2B+1%29%7D%5E%7B2%7D++%5C%5C++%5C%5C++%3D++%7B%28200%29%7D%5E%7B2%7D++%2B+2%28200%29%281%29+%2B++%7B%281%29%7D%5E%7B2%7D++%5C%5C++%5C%5C++%3D+40000+%2B+400+%2B+1+%5C%5C++%5C%5C++%3D++%5Cbf+%5C%3A++%5C%3A+40401)
We have,
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