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30 vote

If x4 + y4 = x2y2 , Find x6 + y6

Asked on by | Votes 30 | Views: 310 | Tags: algebra     | quantitative aptitude     | Add Bounty

If x4 + y4 = x2y2 , Find x6 + y6


1). 1
2). 2
3). 0
4). 5


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1 answers

20 vote
Answered by on | Votes 20 |

x6 + y6 = (x2)3 + (y2)3

$(x^6 + y^6 = ({x^2} + {y^2})({x^4} + {y^4} - {x^2}{y^2}))$

$(x^6 + y^6 = ({x^2} + {y^2})({x^2}{y^2} - {x^2}{y^2}))$

x6 + y6 = 0

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