The value of (0 98)3 + (0 02)3 + 3 0...

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The value of (0.98)³ + (0.02)³ + 3 × 0.98 × 0.02 - 1 = ?

A. 1.98

B. 1.09

C. 1

D. 0

Answer: Option D

Solution(By Examveda Team)

According to question,
(0.98)³ + (0.02)³ + 3 × 0.98 × 0.02 - 1
= (0.98)³ + (0.02)³ + 3 × 0.98 × 0.02(0.98 + 0.02) - 1
= (0.98 + 0.02)³ - 1 [∴ (a + b)³ = a³ + b³ + 3ab(a + b)]
= (1)³ - 1
= 0

Alternate
a = 0.98, b = 0.02, c = -1
a + b + (-c) = 0
So,
a³ + b³ + (-c)³ - 3abc = 0

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