x2+y2=4and x-y=3 then x3-y3.
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6
(x-y) = 3
or, (x-y)² = 3² [Squaring both sides]
or, x²-2xy+y² = 9
or, x²+y² = 9+2xy
or, 2xy = -5
or, xy = -5/2
Therefore, x³-y³
= (x-y) (x²+xy+y²)
= 3 (4 + (-5/2))
= 3 (4 + (-2.5))
= 3 (1.5)
= 4.5 [Ans]
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280
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