Question

12. Evaluate (999)3 using suitable identity.​

Answer 1

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Answer 2

Answer:

$\huge{\boxed{\mathfrak{formula}}} \: -$

=> ( a - b )³ = a³ - b³ - 3ab ( a - b )

$\huge\bf\maltese{\underline{\red{Answer ࿐}}}\maltese$

999 = (1000 – 1)

∴ 999³ = (1000 – 1)³

= (1000)³ – 1³ – 3 x 1000 x 1 (1000 – 1)

999³ = 1000000000 – 1 – 3000 (1000 - 1)

999³ = 1000000000 – 1 – 3000000 + 3000

=>1000003000 – 3000001

999³ = 997002999