Question
Download Solution PDFWhat is the value of 64x3 + 36x2y + 24xy2 + 2y3, when x = 3 and y = -4?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
(A + B)3 = A3 + 3A2B + 3 AB2 + B3
Calculation:
64x3 + 36x2y + 24xy2 + 2y3
⇒ 64x3 + 48 x2y + 12xy2 + y3 - 12x2y + 12xy2 + y3
⇒(4x + y)3 + y3 - 12xy(x - y)
⇒ (4 × 3 - 4)3 + (-4)3 - 12(3)(-4)[3 - (-4)]
⇒ 512 - 64 + 1008 = 1456
∴ The correct option is 2
Last updated on Jul 2, 2025
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