1.

Using suitable identity find the value of (999)3.

Answer»

∵ 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



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