Question

find 999×999 using suitable identity

Answer 1

( 1000 - 1 ) ^2

= 1000^2 + !^2 - 2 x 1 x 1000

= 1000000 + 1 - 2000

= 998001

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Answer 2

We can write 999 as 1000-1.
So, (1000-1)(1000-1) = (1000-1)^2
It is (a-b) ^2 = a^2 - 2ab + b^2
a = 1000
b = -1
= (1000)^2 - 2(1000)(-1) + (-1)^2
=1000000 - 2000 + 1
=998000+1
=998001