What is expand t(t^3-5t)(t^2+4t+1)dt ?

The solution to expand t(t^3-5t)(t^2+4t+1)dt is t^6dt+4t^5dt-4t^4dt-20t^3dt-5t^2dt

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expand t(t^3-5t)(t^2+4t+1)dt

expand

t (t^{3} - 5 t) (t^{2} + 4 t + 1) d t

t^{6} d t + 4 t^{5} d t - 4 t^{4} d t - 20 t^{3} d t - 5 t^{2} d t

Solution steps

t (t^{3} - 5 t) (t^{2} + 4 t + 1) d t

Expand

(t^{3} - 5 t) (t^{2} + 4 t + 1) : t^{5} + 4 t^{4} - 4 t^{3} - 20 t^{2} - 5 t

= t d t (t^{5} + 4 t^{4} - 4 t^{3} - 20 t^{2} - 5 t)

Expand

t d t (t^{5} + 4 t^{4} - 4 t^{3} - 20 t^{2} - 5 t) : t^{6} d t + 4 t^{5} d t - 4 t^{4} d t - 20 t^{3} d t - 5 t^{2} d t

= t^{6} d t + 4 t^{5} d t - 4 t^{4} d t - 20 t^{3} d t - 5 t^{2} d t

- e^{- t} (t + 1) + e^{- 2 t}

2 - 6 (m + 3 = 38)

(b + c + d - e)^{2}

m x^{2} + 8 (m + 9) x + 25

What is expand t(t^3-5t)(t^2+4t+1)dt ?
The solution to expand t(t^3-5t)(t^2+4t+1)dt is t^6dt+4t^5dt-4t^4dt-20t^3dt-5t^2dt