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

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

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

expand

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

\frac{1 + 2 x ^{2}}{x ^{3} - 3 x + 2}

Solution steps

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

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

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

Expand

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

= \frac{1 + 2 x ^{2}}{x ^{3} - 3 x + 2}

(2 x^{6} - 4 x^{2}) sin^{2} (x)

i (2 + 3 i) (c + d i)

(64 t^{3} - 128 t^{2} + 64 t) \cdot 42

2 (2 y^{2} + \frac{2}{y ^{2}} + c)

\frac{( x - 9 y ) ( x - 5 y )}{2 ( x + y )}

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