Question
Download Solution PDFThe expression (3.7)3 - 3 × (3.7)2 × (0.7) + 3(3.7) × (0.7)2 - (0.7)3 is equal to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(3.7)3 - 3 × (3.7)2 × (0.7) + 3(3.7) × (0.7)2 - (0.7)3
Concept Used:
(a – b)3 = a3 – b3 – 3a2b + 3ab2
Calculation:
For the given expression, comparing it with the formula of (a – b)3,
⇒ (3.7)3 - 3 × (3.7)2 × (0.7) + 3(3.7) × (0.7)2 - (0.7)3
⇒ a = 3.7 and b = 0.7
⇒ (3.7)3 - 3 × (3.7)2 × (0.7) + 3(3.7) × (0.7)2 - (0.7)3 = (3.7 – 0.7)3
⇒ (3.7 – 0.7)3 = 33 = 27
Therefore, the required value is 27.
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