Find the cube of x-1/x+y ,( x does not equal to 0)
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Answer:Given expression,
x/y+y/x=-1
=>x²+y²/xy=-1 [ Since, L.C.M. of x and y =xy ]
=>x²+y²=-xy
=>x²+y²+xy=0 ..................( Equation i )
Now,
formula of a³-b³=(a-b)(a²+ab+b²)
applying this formula to find x³+y³
=>x³-y³=(x-y)(x²+xy+y²)
By equation i, value of (x²+xy+y²)=0
=>x³-y³=(x-y)*0
=>x³-y³=0
(Solved)
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