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Mathematics

Evaluate 1002 × 998 by using a special product.

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Answer

We can write 1002 × 998 as (1000 + 2)(1000 - 2).

As (a - b)(a + b) = (a2 - b2)

We get,

(1000 + 2)(1000 - 2) = 10002 - 22 = 1000000 - 4 = 999996.

Hence, 1002 × 998 = 999996.

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