What is expand-((x-1)(x^2+2x-90))/(30) ?

The solution to expand-((x-1)(x^2+2x-90))/(30) is -(x^3)/(30)-(x^2)/(30)+(46x)/(15)-3

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expand-((x-1)(x^2+2x-90))/(30)

expand

- \frac{( x - 1 ) ( x ^{2} + 2 x - 90 )}{30}

- \frac{x ^{3}}{30} - \frac{x ^{2}}{30} + \frac{46 x}{15} - 3

Solution steps

- \frac{( x - 1 ) ( x ^{2} + 2 x - 90 )}{30}

Expand

(x - 1) (x^{2} + 2 x - 90) : x^{3} + x^{2} - 92 x + 90

= - \frac{x ^{3} + x ^{2} - 92 x + 90}{30}

Apply the fraction rule:

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

\frac{x ^{3} + x ^{2} - 92 x + 90}{30} = - (\frac{x ^{3}}{30}) - (\frac{x ^{2}}{30}) - (- \frac{92 x}{30}) - (\frac{90}{30})

= - (\frac{x ^{3}}{30}) - (\frac{x ^{2}}{30}) - (- \frac{92 x}{30}) - (\frac{90}{30})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{x ^{3}}{30} - \frac{x ^{2}}{30} + \frac{92 x}{30} - \frac{90}{30}

Cancel

\frac{92 x}{30} : \frac{46 x}{15}

= - \frac{x ^{3}}{30} - \frac{x ^{2}}{30} + \frac{46 x}{15} - \frac{90}{30}

Divide the numbers:

\frac{90}{30} = 3

= - \frac{x ^{3}}{30} - \frac{x ^{2}}{30} + \frac{46 x}{15} - 3

\frac{( x - 6 ) ( x - 3 )}{4}

(g \circ h) (z - 7)

4 (y - 1)^{2} e^{2 x}

(x + 3) e^{3}

\frac{( e ^{(2 z)} )}{( z - 1 ) ^{3}}

What is expand-((x-1)(x^2+2x-90))/(30) ?
The solution to expand-((x-1)(x^2+2x-90))/(30) is -(x^3)/(30)-(x^2)/(30)+(46x)/(15)-3