evaluate the following using a suitable identity: (a) 998³ (b) 10.2³ (x) 9.8³ (x) 998²-4 (e) 999²-1 (f) (-2 5)³ + 10 +15³ (g) 10.2 * 9.8
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Answer:
(a) (998)³
998 can be written as (1000 – 2)
∴ 998 = 1000 – 2
(998)3 = (1000 – 2)³
We know the formula
(a – b)3 = a³ – b³ – 3ab(a – b)
(1000 – 2)³ = (1000)³ – (2)³ – 3 × 1000 × 2(1000 – 2)
(998)³ = 1000000000 − 8 – 5988000
(998)³ = 994011992
ALL THE OTHER PARTS ARE SAME
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Answer:
a) 998
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