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Mathematics

Use identities to evaluate (101)2

Expansions

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Answer

Given,

⇒ (101)2

⇒ (100 + 1)2

⇒ (100)2 + (1)2 + 2 × 100 × 1

⇒ 10000 + 1 + 200

⇒ 10201.

Hence, (101)2 = 10201.

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