The value of $31^{2}$ =

961

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963

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900

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Solution

The correct option is A 961
Using the identity, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$

$31^{2}$ can be written as $(30 + 1)^{2}$ .
Now, a = 30 and b = 1
$(30 + 1)^{2} = 30^{2} + 1^{2} + 2 \times 30 \times 1$
$= 900 + 1 + 60$
$= 961$

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