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208, -208
Step-by-step explanation:
x-y=4
xy=12
(x+y)²=x²+y²+2xy
=x²+y²+2xy-2xy+2xy
=(x²+y²-2xy) + 4xy
=(x-y)² + 4xy
=4² + 4×12
= 16 + 48
= 64
therefore, (x+y)² = 64
x+y = √64
x+y = ±8
solving, x-y=4 and x+y= ±8
we get, (x=6,y=2) and (x=-2,y=-6)
therefore, x³-y³ = 6³-2³ = 216-8 = 208
and (-2)³-(-6)³ = 8-216 = -208
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