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

The solution to expand (x-1)/(x^2(x-2)^3) is (x-1)/(x^5-6x^4+12x^3-8x^2)

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expand (x-1)/(x^2(x-2)^3)

expand

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

\frac{x - 1}{x ^{5} - 6 x ^{4} + 12 x ^{3} - 8 x ^{2}}

Solution steps

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

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= \frac{x - 1}{x ^{2} ( x ^{3} - 6 x ^{2} + 12 x - 8 )}

Expand

x^{2} (x^{3} - 6 x^{2} + 12 x - 8) : x^{5} - 6 x^{4} + 12 x^{3} - 8 x^{2}

= \frac{x - 1}{x ^{5} - 6 x ^{4} + 12 x ^{3} - 8 x ^{2}}

(sec (u) - tan (u)) (csc (u) + 1)

f (x) = lo g_{5} (x) (x + 2)

(x - y i)^{4}

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

b (5, - \frac{π}{3})

What is expand (x-1)/(x^2(x-2)^3) ?
The solution to expand (x-1)/(x^2(x-2)^3) is (x-1)/(x^5-6x^4+12x^3-8x^2)