What is expand (-10x^4+220x-810)/((x^2-9)^3) ?

The solution to expand (-10x^4+220x-810)/((x^2-9)^3) is (-10x^4+220x-810)/(x^6-27x^4+243x^2-729)

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expand (-10x^4+220x-810)/((x^2-9)^3)

expand

\frac{- 10 x ^{4} + 220 x - 810}{( x ^{2} - 9 ) ^{3}}

\frac{- 10 x ^{4} + 220 x - 810}{x ^{6} - 27 x ^{4} + 243 x ^{2} - 729}

Solution steps

\frac{- 10 x ^{4} + 220 x - 810}{( x ^{2} - 9 ) ^{3}}

(x^{2} - 9)^{3} = x^{6} - 27 x^{4} + 243 x^{2} - 729

= \frac{- 10 x ^{4} + 220 x - 810}{x ^{6} - 27 x ^{4} + 243 x ^{2} - 729}

(5 - \frac{1}{5}) (5 + \frac{1}{5})

e^{x} \cdot x^{2} (3 + x)

(x - x + 1 - 5) (x + x + 1 + 5)

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

tan (α) (1 - cot^{2} (α)) + cot (α) (1 - tan^{2} (α))

What is expand (-10x^4+220x-810)/((x^2-9)^3) ?
The solution to expand (-10x^4+220x-810)/((x^2-9)^3) is (-10x^4+220x-810)/(x^6-27x^4+243x^2-729)