What is expand d(t(1-t)(1-2t))+a(t(1-t)(1-2t)) ?

The solution to expand d(t(1-t)(1-2t))+a(t(1-t)(1-2t)) is dt-3dt^2+2dt^3+ta-3t^2a+2t^3a

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expand d(t(1-t)(1-2t))+a(t(1-t)(1-2t))

expand

d (t (1 - t) (1 - 2 t)) + a (t (1 - t) (1 - 2 t))

d t - 3 d t^{2} + 2 d t^{3} + t a - 3 t^{2} a + 2 t^{3} a

Solution steps

d (t (1 - t) (1 - 2 t)) + a (t (1 - t) (1 - 2 t))

Remove parentheses:

(a) = a

= d t (1 - t) (1 - 2 t) + a t (1 - t) (1 - 2 t)

= d t (1 - t) (1 - 2 t) + t a (1 - t) (1 - 2 t)

Expand

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

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

Expand

a t (1 - t) (1 - 2 t) : t a - 3 t^{2} a + 2 t^{3} a

= d t - 3 d t^{2} + 2 d t^{3} + t a - 3 t^{2} a + 2 t^{3} a

\frac{( 12 v ^{3} + 38 v ^{2} - 16 v - 20 )}{( 6 v - 5 )}

\frac{- 3 x ^{2} - 4 x - 5}{x ( x + 1 ) ( x - 5 )}

(\frac{( 16 x + 1 )}{2})^{2}

\frac{1}{16 ( x ^{4} + 3 x ^{3} - 27 x - 81 ) ^{2}}

y cos (yz) e^{x} - e^{x} (cos (zy) - zy sin (zy))

What is expand d(t(1-t)(1-2t))+a(t(1-t)(1-2t)) ?
The solution to expand d(t(1-t)(1-2t))+a(t(1-t)(1-2t)) is dt-3dt^2+2dt^3+ta-3t^2a+2t^3a