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Question

If xy+yx = -2 and x, y 0, then x3+y3 +3xy(x + y) is equal to:

A
0
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B
1
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C
1
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D
2
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Solution

The correct option is A 0
Given that, xy+yx=2x2+y2xy=2
x2+y2+2xy=0
(x+y)2=0x+y=0.
Cubing both sides, .x3+y3+3xy(x+y)=0.
Therefore, option A is correct.

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