What is expand (-x^2+12x-35)/((x^2-6x+1)^2) ?

The solution to expand (-x^2+12x-35)/((x^2-6x+1)^2) is (-x^2+12x-35)/(x^4-12x^3+38x^2-12x+1)

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expand (-x^2+12x-35)/((x^2-6x+1)^2)

expand

\frac{- x ^{2} + 12 x - 35}{( x ^{2} - 6 x + 1 ) ^{2}}

\frac{- x ^{2} + 12 x - 35}{x ^{4} - 12 x ^{3} + 38 x ^{2} - 12 x + 1}

Solution steps

\frac{- x ^{2} + 12 x - 35}{( x ^{2} - 6 x + 1 ) ^{2}}

(x^{2} - 6 x + 1)^{2} = x^{4} - 12 x^{3} + 38 x^{2} - 12 x + 1

= \frac{- x ^{2} + 12 x - 35}{x ^{4} - 12 x ^{3} + 38 x ^{2} - 12 x + 1}

(2 x - 4) (2 x^{2} - 8 x + 35)^{4} d x

\frac{1250 x + 750}{( 25 x ^{2} - 30 x + 9 ) ^{2}}

\frac{x ^{2} - 10 x - 41}{( x + 1 ) ( x + 4 ) ( x - 1 )}

π (16 x^{2} + 24 x + 9)

\frac{5 ( x - 1 ) ^{4} ( x ^{2} + x + 1 ) ^{4} ( x ^{3} + 2 )}{x ^{11}}

What is expand (-x^2+12x-35)/((x^2-6x+1)^2) ?
The solution to expand (-x^2+12x-35)/((x^2-6x+1)^2) is (-x^2+12x-35)/(x^4-12x^3+38x^2-12x+1)