The value of $(103)^{2}$ using identity is.

10609

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10906

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10606

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10806

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Solution

The correct option is A 10609
We know that,
$(a + b)^{2} = a^{2} + b^{2} + 2 a b$

Now,
103 can be written as (100+3).
On applying the identity $(a + b)^{2}$ and
considering, $a$ = 100 and b = 3,

$(103)^{2}$
$= 100^{2} + 3^{2} + 2 \times 100 \times 3$
$= 10609$

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