What is expand (3*(-x^2+3))/(x^4) ?

The solution to expand (3*(-x^2+3))/(x^4) is -3/(x^2)+9/(x^4)

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expand (3*(-x^2+3))/(x^4)

expand

\frac{3 \cdot ( - x ^{2} + 3 )}{x ^{4}}

- \frac{3}{x ^{2}} + \frac{9}{x ^{4}}

Solution steps

\frac{3 ( - x ^{2} + 3 )}{x ^{4}}

Expand

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

= \frac{- 3 x ^{2} + 9}{x ^{4}}

Apply the fraction rule:

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

\frac{- 3 x ^{2} + 9}{x ^{4}} = - \frac{3 x ^{2}}{x ^{4}} + \frac{9}{x ^{4}}

= - \frac{3 x ^{2}}{x ^{4}} + \frac{9}{x ^{4}}

Cancel

\frac{3 x ^{2}}{x ^{4}} : \frac{3}{x ^{2}}

= - \frac{3}{x ^{2}} + \frac{9}{x ^{4}}

\frac{2 ( 3354 - 27 )}{3}

\frac{( s + 1.5 ) ( s - 3 )}{( s + 3 ) ( s + 2 ) ( s + 1 )}

\frac{( - B + d - 2 \cdot c )}{( B + d + 2 \cdot a )}

\frac{x ^{2} + 12}{( x ^{2} + 9 ) ( x ^{3} + 2 x ^{2} - x - 2 )}

2 u y^{2} (y d u + u d y) + (y^{2} - 3 y^{2} u^{2}) d u

What is expand (3*(-x^2+3))/(x^4) ?
The solution to expand (3*(-x^2+3))/(x^4) is -3/(x^2)+9/(x^4)