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
This Question Belongs to Arithmetic Ability >> Simplification
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