What is expand-(3(x+3)(x-1))/(x^2) ?

The solution to expand-(3(x+3)(x-1))/(x^2) is -3-6/x+9/(x^2)

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expand-(3(x+3)(x-1))/(x^2)

expand

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

- 3 - \frac{6}{x} + \frac{9}{x ^{2}}

Solution steps

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

Expand

3 (x + 3) (x - 1) : 3 x^{2} + 6 x - 9

= - \frac{3 x ^{2} + 6 x - 9}{x ^{2}}

Apply the fraction rule:

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

\frac{3 x ^{2} + 6 x - 9}{x ^{2}} = - (\frac{3 x ^{2}}{x ^{2}}) - (\frac{6 x}{x ^{2}}) - (- \frac{9}{x ^{2}})

= - (\frac{3 x ^{2}}{x ^{2}}) - (\frac{6 x}{x ^{2}}) - (- \frac{9}{x ^{2}})

Remove parentheses:

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

= - \frac{3 x ^{2}}{x ^{2}} - \frac{6 x}{x ^{2}} + \frac{9}{x ^{2}}

Cancel

\frac{3 x ^{2}}{x ^{2}} : 3

= - 3 - \frac{6 x}{x ^{2}} + \frac{9}{x ^{2}}

Cancel

\frac{6 x}{x ^{2}} : \frac{6}{x}

= - 3 - \frac{6}{x} + \frac{9}{x ^{2}}

3 m^{2 (m - n) (2 m + n)}

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

\frac{100 x ^{3} - 600 x ^{2} + 1200 x - 800}{x}

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

arctan ((2 x^{3} + 2)^{3})

What is expand-(3(x+3)(x-1))/(x^2) ?
The solution to expand-(3(x+3)(x-1))/(x^2) is -3-6/x+9/(x^2)