The correct option is C 10201 (101)^2=(100+1)^2=(100)^2+2 × 100 × 1+1^2 =10000+200+1=10201 ...

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Finding the Square of a Number

Evaluate : 10...

Question

Evaluate : $101^{2}$

10209

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10201

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10401

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10211

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Solution

The correct option is C: $10201$
$(101)^{2} = (100 + 1)^{2}$
$= (100)^{2} + 2 \times 100 \times 1 + 1^{2}$
$[Using the identity (a + b)^{2} = (a^{2} + 2 a b + b^{2})]$
$= 10000 + 200 + 1$
$= 10201$

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