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Find the value of {(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1}
- a)1.98
- b)1.09
- c)1.562
- d)0
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Find the value of {(.98)3+ (0.02)3+ 3 × 0.98 × 0.02 &ndash...
Given:
{(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1}
Concept used:
(a + b)3 = a3 + b3 + 3ab(a + b)
Calculation:
{(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1
⇒ [(.98)3 + (0.02)3 + 3 × 0.98 × 0.02(0.98 + 0.02)} – 1]
Now, first term is of the form (a + b)3 where a = .98 and b = 0.02
⇒ (0.98 + 0.02)3 – 1 = 1 – 1 = 0
∴ The value is 0.
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Find the value of {(.98)3+ (0.02)3+ 3 × 0.98 × 0.02 – 1}a)1.98b)1.09c)1.562d)0Correct answer is option 'D'. Can you explain this answer?
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