What is expand ((-y+4)^3)/(24) ?

The solution to expand ((-y+4)^3)/(24) is -(y^3}{24}+\frac{y^2)/2-2y+8/3

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expand ((-y+4)^3)/(24)

expand

\frac{( - y + 4 ) ^{3}}{24}

- \frac{y ^{3}}{24} + \frac{y ^{2}}{2} - 2 y + \frac{8}{3}

Solution steps

\frac{( - y + 4 ) ^{3}}{24}

(- y + 4)^{3} = - y^{3} + 12 y^{2} - 48 y + 64

= \frac{( - y ^{3} + 12 y ^{2} - 48 y + 64 )}{24}

Remove parentheses:

(- a) = - a

= \frac{- y ^{3} + 12 y ^{2} - 48 y + 64}{24}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- y ^{3} + 12 y ^{2} - 48 y + 64}{24} = - \frac{y ^{3}}{24} + \frac{12 y ^{2}}{24} - \frac{48 y}{24} + \frac{64}{24}

= - \frac{y ^{3}}{24} + \frac{12 y ^{2}}{24} - \frac{48 y}{24} + \frac{64}{24}

Cancel

\frac{12 y ^{2}}{24} : \frac{y ^{2}}{2}

= - \frac{y ^{3}}{24} + \frac{y ^{2}}{2} - \frac{48 y}{24} + \frac{64}{24}

Divide the numbers:

\frac{48}{24} = 2

= - \frac{y ^{3}}{24} + \frac{y ^{2}}{2} - 2 y + \frac{64}{24}

Cancel

\frac{64}{24} : \frac{8}{3}

= - \frac{y ^{3}}{24} + \frac{y ^{2}}{2} - 2 y + \frac{8}{3}

(\frac{5}{3 x} + \frac{5}{x} = 1) 3 x

(- \frac{5}{2} - x) (- 3 - x) - 3

\frac{21 d x}{( x ^{2} - 1 ) ^{2}}

\frac{( - 109 x ^{3} + 807 x ^{2} - 1015 x - 451 )}{8}

\frac{4 ( 2 x + y )}{x y}

What is expand ((-y+4)^3)/(24) ?
The solution to expand ((-y+4)^3)/(24) is -(y^3}{24}+\frac{y^2)/2-2y+8/3