Question

find the value of the following
(999) ²​

Answer 1

Answer:

999^2

(1000 - 1)^2

Using identity, (a - b)^2 = a^2 + b^2 -2ab

(1000 - 1)^2

(1000)^2 + (1)^2 - 2(1000×1)

1000000 + 1 - 2000

1000001 - 2000

998001

Step-by-step explanation:

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Answer 2

Hlo dear.....

${(999)}^{2} \\ = {(1000 - 1)}^{2} \\ = {(1000)}^{2} + {(1)}^{2} - 2(1000)(1) \\ = 1000000 + 1 - 2000 \\ = 1000001 - 2000 \\ = 998001$

Verification-

(999)² = 998,001 ( refer to the attachment)