. (CY2(Y-22 +x)+(4-232(2-2x+y)+イマール
( 2 -204)
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Answer:
2x³+2y³+2z³-3x²y-3y²z-3z²x-3xy²-3yz²- 3zx²+12xyz
Step-by-step explanation:
(x-y)²(y-2z+x)+(y-z)²(z-2x+y)+(z-x)²(x-2y+z)
=(x²-2xy+y²)(y-2z+x)+(y²-2yz+z²)(z-2x+y)+(z²-2zx+x²)(x-2y+z)
=x²(y-2z+x)-2xy(y-2z+x)+y²(y-2z+x)+ y²(z-2x+y)-2yz(z-2x+y)+z²(z-2x+y)+ z²(x-2y+z)-2zx(x-2y+z)+x²(x-2y+z)
=x²y-2zx²+x³-2xy²+4xyz-2x²y+y³-2y²z+xy²+ y²z-2xy²+y³-2yz²+4xyz-2y²z+z³-2z²x+yz²+ z²x-2yz²+z³-2zx²+4xyz-2z²x+x³-2x²y+zx²
=x³+x³+y³+y³+z³+z³+x²y-2x²y-2x²y-2y²z+ y²z-2y²z-2z²x+z²x-2z²x-2xy²+xy²-2xy²-2yz²+yz²-2yz²-2zx²-2zx²+zx²+4xyz+4xyz+4xyz
=2x³+2y³+2z³-3x²y-3y²z-3z²x-3xy²-3yz²- 3zx²+12xyz
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