Using the formula for squaring a binomial the value of ${(999)}^{2}$ is:

980091

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998005

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998001

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998002

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Solution

The correct option is C 998001
$(999)^{2} = (1000 - 1)^{2}$

We know that,
$(a - b)^{2} = a^{2} + b^{2} - 2 a b$

$\Rightarrow (1000)^{2} + (1)^{2} - 2000$

$= 998001$

Hence, option C is correct.

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Similar questions

Using the formula for squaring a binomial, evaluate the following:
(i) $(69)^{2}$
(ii) $(78)^{2}$
(iii) $(197)^{2}$
(iv) $(999)^{2}$

(101)^{2}

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