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

The solution to expand (3x^2+x-2)/((x-2)^2(1-2x)) is (3x^2+x-2)/(-2x^3+9x^2-12x+4)

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

expand

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

\frac{3 x ^{2} + x - 2}{- 2 x ^{3} + 9 x ^{2} - 12 x + 4}

Solution steps

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

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

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

Expand

(x^{2} - 4 x + 4) (1 - 2 x) : - 2 x^{3} + 9 x^{2} - 12 x + 4

= \frac{3 x ^{2} + x - 2}{- 2 x ^{3} + 9 x ^{2} - 12 x + 4}

y (12 = 8 x - 4 y)

\frac{e + f}{x + a} + \frac{g + h}{( x + a ) ^{2}}

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

(3 x + \frac{5}{x})^{8}

\frac{tan ^{2} ( 0.785 )}{2}

What is expand (3x^2+x-2)/((x-2)^2(1-2x)) ?
The solution to expand (3x^2+x-2)/((x-2)^2(1-2x)) is (3x^2+x-2)/(-2x^3+9x^2-12x+4)