expand (2 x + 3 y + 4z)
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=(2x+3y+4z)²
=2x(2x+3y+4z)+3y(2x+3y+4z)+4z(2x+3y+4z)
=4x²+6xy+8xz+6xy+9y²+12yz+8xz+12yz+16z²
=4x²+9y²+16z²+6xy+6xy+8xz+8xz+12yz+12yz
=4x²+9y²+16z²+12xy+16xz+24yz
Hope it's helpful.
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