What is expand x*(1,1,1)+y*(1,0,1)+z*(1,0,-1) ?

The solution to expand x*(1,1,1)+y*(1,0,1)+z*(1,0,-1) is x(1,1,1)+y(1,0,1)+1*z,0,-1*z

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expand x(1,1,1)+y(1,0,1)+z*(1,0,-1)

expand

x \cdot (1, 1, 1) + y \cdot (1, 0, 1) + z \cdot (1, 0, - 1)

x (1, 1, 1) + y (1, 0, 1) + 1 \cdot z, 0, - 1 \cdot z

Solution steps

x (1, 1, 1) + y (1, 0, 1) + z (1, 0, - 1)

= (1 \cdot 1 \cdot 1,,) x + (1 \cdot 0 \cdot 1,,) y + (1 \cdot 0,, - 1) z

Expand

z (1, 0, - 1) : 1 \cdot z, 0, - 1 \cdot z

= x (1, 1, 1) + y (1, 0, 1) + 1 \cdot z, 0, - 1 \cdot z

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\frac{5}{3 ( x + 3 )}

What is expand x*(1,1,1)+y*(1,0,1)+z*(1,0,-1) ?
The solution to expand x*(1,1,1)+y*(1,0,1)+z*(1,0,-1) is x(1,1,1)+y(1,0,1)+1*z,0,-1*z