What is expand (36-57x+15x^2-x^3)/(x(6-x)^2) ?

The solution to expand (36-57x+15x^2-x^3)/(x(6-x)^2) is (36-57x+15x^2-x^3)/(36x-12x^2+x^3)

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expand (36-57x+15x^2-x^3)/(x(6-x)^2)

expand

\frac{36 - 57 x + 15 x ^{2} - x ^{3}}{x ( 6 - x ) ^{2}}

\frac{36 - 57 x + 15 x ^{2} - x ^{3}}{36 x - 12 x ^{2} + x ^{3}}

Solution steps

\frac{36 - 57 x + 15 x ^{2} - x ^{3}}{x ( 6 - x ) ^{2}}

(6 - x)^{2} = 36 - 12 x + x^{2}

= \frac{36 - 57 x + 15 x ^{2} - x ^{3}}{x ( x ^{2} - 12 x + 36 )}

Expand

x (36 - 12 x + x^{2}) : 36 x - 12 x^{2} + x^{3}

= \frac{36 - 57 x + 15 x ^{2} - x ^{3}}{36 x - 12 x ^{2} + x ^{3}}

(x - 3 - 2 i) (x - 3 + 2 i)

, 900 q - 10 w - 10 q (45 - \frac{1}{2} q)

(x 3 + 2 x)^{2}

\frac{12 ( - 6 x ^{2} + 7 )}{( 6 x ^{2} + 7 ) ^{2}}

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

What is expand (36-57x+15x^2-x^3)/(x(6-x)^2) ?
The solution to expand (36-57x+15x^2-x^3)/(x(6-x)^2) is (36-57x+15x^2-x^3)/(36x-12x^2+x^3)