What is expand (x^4+x^2+16x-12)/(x^3(x-2)^2) ?

The solution to expand (x^4+x^2+16x-12)/(x^3(x-2)^2) is (x^4+x^2+16x-12)/(x^5-4x^4+4x^3)

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expand (x^4+x^2+16x-12)/(x^3(x-2)^2)

expand

\frac{x ^{4} + x ^{2} + 16 x - 12}{x ^{3} ( x - 2 ) ^{2}}

\frac{x ^{4} + x ^{2} + 16 x - 12}{x ^{5} - 4 x ^{4} + 4 x ^{3}}

Solution steps

\frac{x ^{4} + x ^{2} + 16 x - 12}{x ^{3} ( x - 2 ) ^{2}}

(x - 2)^{2} = x^{2} - 4 x + 4

= \frac{x ^{4} + x ^{2} + 16 x - 12}{x ^{3} ( x ^{2} - 4 x + 4 )}

Expand

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

= \frac{x ^{4} + x ^{2} + 16 x - 12}{x ^{5} - 4 x ^{4} + 4 x ^{3}}

(\frac{2.6}{4} x^{π} + \frac{2.2}{6.8} y^{e})^{16}

x (x + 7) 11 d x

4 e^{x} (x^{2} - 49)

\frac{e ^{- s} - e ^{- 5 s} + ( e ^{- s} + 4 e ^{- 5 s} ) s + 2 s ^{2}}{s ^{2} ( s ^{2} + 5 s + 6 )}

(y^{2} + 5 x^{3}) \frac{d}{d x} (+ x y)

What is expand (x^4+x^2+16x-12)/(x^3(x-2)^2) ?
The solution to expand (x^4+x^2+16x-12)/(x^3(x-2)^2) is (x^4+x^2+16x-12)/(x^5-4x^4+4x^3)