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

The solution to expand (2x-x^2)/(3(2-2x)^2) is (2x-x^2)/(12-24x+12x^2)

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

expand

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

\frac{2 x - x ^{2}}{12 - 24 x + 12 x ^{2}}

Solution steps

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

(2 - 2 x)^{2} = 4 - 8 x + 4 x^{2}

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

Expand

3 (4 - 8 x + 4 x^{2}) : 12 - 24 x + 12 x^{2}

= \frac{2 x - x ^{2}}{12 - 24 x + 12 x ^{2}}

(3 n - 3) 2

\frac{12 - 25}{2} - \frac{2}{3} \cdot (2 \cdot (- 2.9342) + 0.73683)

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

\frac{5}{( v - 60 ) ^{2}}

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

What is expand (2x-x^2)/(3(2-2x)^2) ?
The solution to expand (2x-x^2)/(3(2-2x)^2) is (2x-x^2)/(12-24x+12x^2)