998× 1002=(1000 2)(1000+2)Using identity a^2 b^2=(a b)(a+b) (1000 2)(1000+2)=(1000)^2 (2)^20ex0ex =1000000 40ex0ex ...

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Distributive Property of Multiplication

Evaluate : 99...

Question

Evaluate : $998 \times 1002$

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Solution

$998 \times 1002 = (1000 - 2) (1000 + 2)$
Using identity $a^{2} - b^{2} = (a - b) (a + b)$
$(1000 - 2) (1000 + 2) = {(1000)}^{2} - {(2)}^{2} = 1000000 - 4 = 999996$
Hence the result is $999996$

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