What is expand (4-x^2)/(x^2(x-1)) ?

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

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expand (4-x^2)/(x^2(x-1))

expand

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

\frac{4 - x ^{2}}{x ^{3} - x ^{2}}

Solution steps

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

Expand

x^{2} (x - 1) : x^{3} - x^{2}

= \frac{4 - x ^{2}}{x ^{3} - x ^{2}}

\frac{61 x + 204}{( x + 4 ) ^{2} ( x - 4 )}

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

\frac{( 2 x + 3 ) ^{3}}{( 4 x ^{2} - 1 ) ^{8}}

\frac{100}{( s + 2 ) ( s + 3 ) ( s + 5 )}

(y - (- 4)) \cdot y^{2} (y = - 1)

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