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

The solution to expand-1/((3-x)^2(1-x)) is -1/(9-15x+7x^2-x^3)

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

expand

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

- \frac{1}{9 - 15 x + 7 x ^{2} - x ^{3}}

Solution steps

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

(3 - x)^{2} = 9 - 6 x + x^{2}

= - \frac{1}{( x ^{2} - 6 x + 9 ) ( - x + 1 )}

Expand

(9 - 6 x + x^{2}) (1 - x) : 9 - 15 x + 7 x^{2} - x^{3}

= - \frac{1}{- x ^{3} + 7 x ^{2} - 15 x + 9}

\frac{4 ( - 2 x ^{2} + 24 x )}{( 7 x ^{2} - 2 x + 12 ) ^{2}}

(x - 16) x

(\frac{7 - 3 x}{4})^{2}

x 3 (2 x + 45)

\frac{S + 3}{S ^{2} ( S - 2 ) ^{2}}

What is expand-1/((3-x)^2(1-x)) ?
The solution to expand-1/((3-x)^2(1-x)) is -1/(9-15x+7x^2-x^3)