What is expand ((-z+6)^3)/(54) ?

The solution to expand ((-z+6)^3)/(54) is -(z^3}{54}+\frac{z^2)/3-2z+4

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expand ((-z+6)^3)/(54)

expand

\frac{( - z + 6 ) ^{3}}{54}

- \frac{z ^{3}}{54} + \frac{z ^{2}}{3} - 2 z + 4

Solution steps

\frac{( - z + 6 ) ^{3}}{54}

(- z + 6)^{3} = - z^{3} + 18 z^{2} - 108 z + 216

= \frac{( - z ^{3} + 18 z ^{2} - 108 z + 216 )}{54}

Remove parentheses:

(- a) = - a

= \frac{- z ^{3} + 18 z ^{2} - 108 z + 216}{54}

Apply the fraction rule:

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

\frac{- z ^{3} + 18 z ^{2} - 108 z + 216}{54} = - \frac{z ^{3}}{54} + \frac{18 z ^{2}}{54} - \frac{108 z}{54} + \frac{216}{54}

= - \frac{z ^{3}}{54} + \frac{18 z ^{2}}{54} - \frac{108 z}{54} + \frac{216}{54}

Cancel

\frac{18 z ^{2}}{54} : \frac{z ^{2}}{3}

= - \frac{z ^{3}}{54} + \frac{z ^{2}}{3} - \frac{108 z}{54} + \frac{216}{54}

Divide the numbers:

\frac{108}{54} = 2

= - \frac{z ^{3}}{54} + \frac{z ^{2}}{3} - 2 z + \frac{216}{54}

Divide the numbers:

\frac{216}{54} = 4

= - \frac{z ^{3}}{54} + \frac{z ^{2}}{3} - 2 z + 4

2 (2 + lo g_{2} (375))

20 (\frac{1}{2} x 16 - \frac{1}{4} x^{2})

\frac{1}{6} (1 + e^{2 x})^{3}

(1 + 5 sin (t)) \cdot (5 cos (t))

4 (- 2 x + 2 = 88)

What is expand ((-z+6)^3)/(54) ?
The solution to expand ((-z+6)^3)/(54) is -(z^3}{54}+\frac{z^2)/3-2z+4