X= 2019, y=2020, z=2021 find x²+y²+z²-xy-yz-zx
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2
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Right ans is 2
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Answer:
x^2=4076361
y^2=(x^2)+(2x+1)=4080400
z^2=(y^2)+(2y+1)=4084441
xy=(y^2)-y=4078380
yz=(z^2)-z=4082420
zx=(z^2)-2z=4080399
ans=x^2+(x^2)+(2x+1)+[(x^2)+(2x+1)+2y+1]-[(x^2)+(2x+1)-y]-x-[(x^2)+(2x+1)+(2y+1)-z]-[(x^2)+(2x+1)+(2y+1)-2z]=
-2x-1-2y-1+y+3z=
-2x-1-y-1+3z=
-x-y-z+3z=
-x-y+2z=
-4039+4042=
3
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