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

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

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

expand

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

\frac{x ^{2} - 12 x - 6}{x ^{4} + 2 x ^{3} + x ^{2}}

Solution steps

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

(x + 1)^{2} = x^{2} + 2 x + 1

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

Expand

x^{2} (x^{2} + 2 x + 1) : x^{4} + 2 x^{3} + x^{2}

= \frac{x ^{2} - 12 x - 6}{x ^{4} + 2 x ^{3} + x ^{2}}

C (- 4, - 2)

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

(- 4 - 107) (3 + 11)

\frac{1}{s ( s + 3 ) ( s + 6 )}

x e^{x} (2 + x)

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