If \(x^3 + y^3 = 468\) and \(x + y = 12\), then value of \(x^4 + y^4\) will be
Question and options
If and , then value of will be
- 3620
- 2036
- 3025
- 3026
Answer and explanation
Correct answer: D - 3026
(x+y)^3 - 3xy(x+y) = 1728 - 36xy = 468 gives xy = 35. x^2+y^2 = 144-70 = 74. x^4+y^4 = 74^2 - 2*35^2 = 5476 - 2450 = 3026.
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