What is expand (9u^2,-v,64u^3)*(3,-4,0) ?

The solution to expand (9u^2,-v,64u^3)*(3,-4,0) is 9u^2,3,-9u^2,4,0-v,64*3u^3,v,64*4u^3,0

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expand (9u^2,-v,64u^3)*(3,-4,0)

expand

(9 u^{2}, - v, 64 u^{3}) \cdot (3, - 4, 0)

9 u^{2}, 3, - 9 u^{2}, 4, 0 - v, 64 \cdot 3 u^{3}, v, 64 \cdot 4 u^{3}, 0

Solution steps

(9 u^{2}, - v, 64 u^{3}) (3, - 4, 0)

= (3, - 4 \cdot 0,) (9, u^{2} - 64, u^{3} v)

Apply FOIL method:

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

a = 9 u^{2},, b = - v, 64 u^{3}, c = 3,, d = - 4, 0

= 9 u^{2}, 3, 9 u^{2}, (- 4, 0) + (- v, 64 u^{3}) \cdot 3, (- v, 64 u^{3}) (- 4, 0)

Apply minus-plus rules

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

= 9 u^{2}, 3, - 9 u^{2}, 4, 0 - v, 64 \cdot 3 u^{3}, v, 64 \cdot 4 u^{3}, 0

\frac{7 s + 33}{s ( s ^{2} - 2 s + 17 )}

(x + \frac{1}{3}) (x - \frac{1}{2}) (2 - x)

(e^{8 x} + 2)^{2}

- \frac{2 ( e ^{15} - 1 )}{3}

\frac{s ( s ^{2} + 4 s + 8 )}{s + 1}

What is expand (9u^2,-v,64u^3)*(3,-4,0) ?
The solution to expand (9u^2,-v,64u^3)*(3,-4,0) is 9u^2,3,-9u^2,4,0-v,64*3u^3,v,64*4u^3,0