Question
Download Solution PDFThe simplified form of (x + 2y)3 + (x - 2y)3 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(x + 2y)3 + (x - 2y)3
Concept used:
a3 + b3 = (a + b)(a2 + b2 - ab)
Calculation:
(x + 2y)3 + (x - 2y)3 = (x + 2y + x - 2y)[(x + 2y)2 + (x - 2y)2 - (x + 2y)(x - 2y)]
⇒ (x + x)[(x2 + 4y2 + 4xy + x2 + 4y2 - 4xy - x2 + 4y2)]
⇒ 2x(x2 + 12y2)
⇒ 2x3 + 24 xy2
∴ The required answer is 2x3 + 24 xy2.
Last updated on Jul 12, 2025
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