Question

Find the following
(101)²​

Answer 1

Answer:

(100+1)²

100²+2(100)(1) + 1²

10000+200+1

10201

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Answer 2

Answer:

$(100 + 1 {)}^{2} \\ using \: \: this \: \: identity \: \\ (x + y {)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ (100 + 1 {)}^{2} = 10 {0}^{2} + {1}^{2} + 2 \times 100 \times 1 \\ = 10000 + 1 + 200 \\ = 10201$

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