4x²+9y²+16z²
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Step-by-step explanation:
(2x)^2 + (3y)^2 + (4z)^2
a^2+b^2+c^2= (a+b+c)^2-2(ab+bc+ca)
(2x+3y+4z)^2-2{2x(3y)+3y(4z)+4z(2x)}
(2x+3y+4z)^2-2(6xy+12yz+8xz)
(2x+3y+4z)^2-12xy-24yz-17xz
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