if x+y =2 and 1/x+1/y =2 find the value of x3+y3
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Answer:
x+y+2 = 0 x
3
+y
3
+8
Taking cube not on both sides
(x+y+2)
3
=0
x
3
+y
3
+8(x+y+2)(xy+2y+2x)=0.
x
3
+y
3
+8+(0)(xy+2y+2x)=0
x
3
+y
3
+8=0
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