What is expand (1,0,-2u)*(0,1,-2v) ?

The solution to expand (1,0,-2u)*(0,1,-2v) is 1,0,0,1,-1,0,2v-2*0*u,1,2*2uv

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expand (1,0,-2u)*(0,1,-2v)

expand

(1, 0, - 2 u) \cdot (0, 1, - 2 v)

1, 0, 0, 1, - 1, 0, 2 v - 2 \cdot 0 \cdot u, 1, 2 \cdot 2 uv

Solution steps

(1, 0, - 2 u) (0, 1, - 2 v)

= (1 \cdot 0,, - 2 u) (0 \cdot 1,, - 2 v)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 1, 0,, b = - 2 u, c = 0, 1,, d = - 2 v

= 1, 0, 0, 1, 1, 0, (- 2 v) + (- 2 u) \cdot 0, 1, (- 2 u) (- 2 v)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= 1, 0, 0, 1, - 1, 0, 2 v - 2 \cdot 0 \cdot u, 1, 2 \cdot 2 uv

(1 + x) (1 - x)

(x - 1) (x - 1 - 2) (x - 1 + 2)

(u - 1)^{2} (u)^{\frac{1}{2}}

(- 2 e^{2 t} sin (t) + 4 e^{2 t} cos (t))^{2}

- \frac{36 ( 12 x ^{2} - 1 )}{( 12 x ^{3} - 3 x + 16 ) ^{2}}

What is expand (1,0,-2u)*(0,1,-2v) ?
The solution to expand (1,0,-2u)*(0,1,-2v) is 1,0,0,1,-1,0,2v-2*0*u,1,2*2uv