What is expand (-t^3+7t^2+1)(1,2t,0) ?

The solution to expand (-t^3+7t^2+1)(1,2t,0) is -t^3(1*2*0,,t)+7t^2(1*2*0,,t)+1*(1*2*0,,t)

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expand (-t^3+7t^2+1)(1,2t,0)

expand

(- t^{3} + 7 t^{2} + 1) (1, 2 t, 0)

- t^{3} (1 \cdot 2 \cdot 0,, t) + 7 t^{2} (1 \cdot 2 \cdot 0,, t) + 1 \cdot (1 \cdot 2 \cdot 0,, t)

Solution steps

(- t^{3} + 7 t^{2} + 1) (1, 2 t, 0)

= (- t^{3} + 7 t^{2} + 1) (1 \cdot 2 \cdot 0,, t)

Distribute parentheses

= (1, 2 t, 0) (- t^{3}) + (1, 2 t, 0) \cdot 7 t^{2} + (1, 2 t, 0) \cdot 1

Apply minus-plus rules

+ (- a) = - a

= - t^{3} (1 \cdot 2 \cdot 0,, t) + 7 t^{2} (1 \cdot 2 \cdot 0,, t) + 1 \cdot (1 \cdot 2 \cdot 0,, t)

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What is expand (-t^3+7t^2+1)(1,2t,0) ?
The solution to expand (-t^3+7t^2+1)(1,2t,0) is -t^3(1*2*0,,t)+7t^2(1*2*0,,t)+1*(1*2*0,,t)