What is expand 1/((x^2-10x+35)^3) ?

The solution to expand 1/((x^2-10x+35)^3) is 1/(x^6-30x^5+405x^4-3100x^3+14175x^2-36750x+42875)

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expand 1/((x^2-10x+35)^3)

expand

\frac{1}{( x ^{2} - 10 x + 35 ) ^{3}}

\frac{1}{x ^{6} - 30 x ^{5} + 405 x ^{4} - 3100 x ^{3} + 14175 x ^{2} - 36750 x + 42875}

Solution steps

\frac{1}{( x ^{2} - 10 x + 35 ) ^{3}}

(x^{2} - 10 x + 35)^{3} = x^{6} - 30 x^{5} + 405 x^{4} - 3100 x^{3} + 14175 x^{2} - 36750 x + 42875

= \frac{1}{x ^{6} - 30 x ^{5} + 405 x ^{4} - 3100 x ^{3} + 14175 x ^{2} - 36750 x + 42875}

\frac{1}{( x + 100 ) ( x + 200 )}

\frac{a}{( s + a ) ( s + b )}

\frac{x + 2}{( x + 5 ) ( x - 1 )}

\frac{16000 - 3 s}{8 s ( 4000 + 3 s )}

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

What is expand 1/((x^2-10x+35)^3) ?
The solution to expand 1/((x^2-10x+35)^3) is 1/(x^6-30x^5+405x^4-3100x^3+14175x^2-36750x+42875)