Question
Download Solution PDFIf x + y + 3 = 0, then find the value of x3 + y3 - 9xy + 9.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
x + y + 3 = 0
Formula used:
(a + b)3 = a3 + b3 + 3ab (a + b)
Calculation:
x + y + 3 = 0
⇒ x + y = - 3 .....(1)
⇒ (x + y)3 = (- 3)3 [Taking cube of both sides]
⇒ x3 + y3 + 3xy (x + y) = - 27
⇒ x3 + y3 + 3xy × (- 3) = - 27 [∵ x + y = - 3]
⇒ x3 + y3 - 9xy = - 27
⇒ x3 + y3 - 9xy + 9 = - 27 + 9 [Adding 9 in both sides]
⇒ x3 + y3 - 9xy + 9 = - 18
∴ The value of x3 + y3 - 9xy + 9 is (- 18)
Last updated on Jun 13, 2025
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