evaluate (99)^3 and (998)^3 . Plz only correct answer​ . step by step method .​

2 thoughts on “evaluate (99)^3 and (998)^3 . Plz only correct answer​ . step by step method .​”

1. Answer:

   We write 99 = 100 – 1 (99)3 = (100 – 1)3 Using (a- b) = a-b-3ab(a-b) Where a = 100 & b = 1 = (100) – (1)3 – 3(100) (1) (100 – 1) = 1000000 – 1- 300(99) = 1000000 – 1- 29700 = 970299

   (998)3 We write 998 1000-2 (998) = (1000 – 2)3 Using (a – b) = a – b – 3ab(a – b) Where a = 1000 & b = 2 (1000) – (2) – 3(1000) (2) (1000 – 2) %3D = 1000000000- 8-6000(998) = 1000000000- 8 – 5988000 = 1000000000- 5988008 = 994011992

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2. Answer:

   994982291

   Hope it helps you

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