What is expand (3t-1)^3dt ?

The solution to expand (3t-1)^3dt is 27t^3dt-27t^2dt+9tdt-dt

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expand (3t-1)^3dt

expand

(3 t - 1)^{3} d t

27 t^{3} d t - 27 t^{2} d t + 9 t d t - d t

Solution steps

(3 t - 1)^{3} d t

(3 t - 1)^{3} = 27 t^{3} - 27 t^{2} + 9 t - 1

= (27 t^{3} - 27 t^{2} + 9 t - 1) d t

Distribute parentheses

= d t \cdot 27 t^{3} + d t (- 27 t^{2}) + d t \cdot 9 t + d t (- 1)

Apply minus-plus rules

+ (- a) = - a

= 27 t^{3} d t - 27 t^{2} d t + 9 t d t - 1 \cdot d t

Multiply:

1 \cdot d t = d t

= 27 t^{3} d t - 27 t^{2} d t + 9 t d t - d t

\frac{( 6 x + 2 ) ( x ^{3} + 2 x - 7 )}{x ^{6} - 2 x + 7}

(2 x - \frac{3}{x})^{2}

\frac{3 x ^{4} - 7 x ^{3} + 6 k x ^{2} + 12 k ^{2} x - 2}{( x - 1 ) ^{2}}

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

What is expand (3t-1)^3dt ?
The solution to expand (3t-1)^3dt is 27t^3dt-27t^2dt+9tdt-dt