What is expand 3y^2(6-3y)-1/6 y(6-3y)^3-3/2 y^3(6-3y) ?

The solution to expand 3y^2(6-3y)-1/6 y(6-3y)^3-3/2 y^3(6-3y) is -45y^3+72y^2-36y+(9y^4)/2+(9y^4)/2

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expand 3y^2(6-3y)-1/6 y(6-3y)^3-3/2 y^3(6-3y)

expand

3 y^{2} (6 - 3 y) - \frac{1}{6} y (6 - 3 y)^{3} - \frac{3}{2} y^{3} (6 - 3 y)

- 45 y^{3} + 72 y^{2} - 36 y + \frac{9 y ^{4}}{2} + \frac{9 y ^{4}}{2}

Solution steps

3 y^{2} (6 - 3 y) - \frac{1}{6} y (6 - 3 y)^{3} - \frac{3}{2} y^{3} (6 - 3 y)

Expand

3 y^{2} (6 - 3 y) : 18 y^{2} - 9 y^{3}

= 18 y^{2} - 9 y^{3} - \frac{1}{6} y (6 - 3 y)^{3} - \frac{3}{2} y^{3} (6 - 3 y)

Expand

- \frac{1}{6} y (6 - 3 y)^{3} : - 36 y + 54 y^{2} - 27 y^{3} + \frac{9 y ^{4}}{2}

= 18 y^{2} - 9 y^{3} - 36 y + 54 y^{2} - 27 y^{3} + \frac{9 y ^{4}}{2} - \frac{3}{2} y^{3} (6 - 3 y)

Expand

- \frac{3}{2} y^{3} (6 - 3 y) : - 9 y^{3} + \frac{9 y ^{4}}{2}

= 18 y^{2} - 9 y^{3} - 36 y + 54 y^{2} - 27 y^{3} + \frac{9 y ^{4}}{2} - 9 y^{3} + \frac{9 y ^{4}}{2}

Simplify

18 y^{2} - 9 y^{3} - 36 y + 54 y^{2} - 27 y^{3} + \frac{9 y ^{4}}{2} - 9 y^{3} + \frac{9 y ^{4}}{2} : - 45 y^{3} + 72 y^{2} - 36 y + \frac{9 y ^{4}}{2} + \frac{9 y ^{4}}{2}

= - 45 y^{3} + 72 y^{2} - 36 y + \frac{9 y ^{4}}{2} + \frac{9 y ^{4}}{2}

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

343 \cdot 63

(\frac{2 m}{3} + 7 b) (\frac{2 m}{3} - 7 b)

(x + \frac{1}{2}) (x + \frac{11}{2})

\frac{90 ( s + 0.3 )}{( s + 3.8 ) ( s - 2.9 ) ( s + 10 )}

What is expand 3y^2(6-3y)-1/6 y(6-3y)^3-3/2 y^3(6-3y) ?
The solution to expand 3y^2(6-3y)-1/6 y(6-3y)^3-3/2 y^3(6-3y) is -45y^3+72y^2-36y+(9y^4)/2+(9y^4)/2