Question
Download Solution PDFIf a = 17,b = 13, then find the value of the expression (a3 - b3 - 3a2b + 3ab2).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used
(a - b)3 = a3 - b3 - 3a2b + 3ab2
Calculation
(a - b)3 = a3 - b3 - 3a2b + 3ab2
⇒ (17 - 13)3 = a3 - b3 - 3a2b + 3ab2
⇒ (4)3 = a3 - b3 - 3a2b + 3ab2
⇒ 64 = a3 - b3 - 3a2b + 3ab2
The value is 64.
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