simplify (x+y-2z)^2 - x^2 - y^2 - 3z^2 + 4xy
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Answer:
Step-by-step explanation:
(x+y+2z)2−x2−y2+3z2+4xy
Distribute:
=x2+2xy+4xz+y2+4yz+4z2+−x2+−y2+3z2+4xy
Combine Like Terms:
=x2+2xy+4xz+y2+4yz+4z2+−x2+−y2+3z2+4xy
=(x2+−x2)+(2xy+4xy)+(4xz)+(y2+−y2)+(4yz)+(4z2+3z2)
=6xy+4xz+4yz+7z2
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