The solution of the following by using suitable identities:
$204 \times 206$ is -------

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Solution

The given product $204 \times 206$ can be rewritten as $(200 + 4) \times (200 + 6)$ and we solve it as follows:

$(200 + 4) (200 + 6) = 200 (200 + 6) + 4 (200 + 6) = (200 \times 200) + (200 \times 6) + (4 \times 200) + (4 \times 6) = 40000 + 1200 + 800 + 24 = 42024$

Hence, $204 \times 206 = 42024$ .

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