What is expand 1/((x-1)(x-6)^2) ?

The solution to expand 1/((x-1)(x-6)^2) is 1/(x^3-13x^2+48x-36)

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expand 1/((x-1)(x-6)^2)

expand

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

\frac{1}{x ^{3} - 13 x ^{2} + 48 x - 36}

Solution steps

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

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

= \frac{1}{( x - 1 ) ( x ^{2} - 12 x + 36 )}

Expand

(x - 1) (x^{2} - 12 x + 36) : x^{3} - 13 x^{2} + 48 x - 36

= \frac{1}{x ^{3} - 13 x ^{2} + 48 x - 36}

25 (\frac{p}{2} - 1)

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

- \frac{1}{324} (6 - 2 z)^{4}

(- a sin (t) - a sin (2 t))^{2} + (a cos (t) + a cos (2 t))^{2}

\frac{\partial}{\partial x} ((y) (3 x^{2} yz + 5 x z + 6))

What is expand 1/((x-1)(x-6)^2) ?
The solution to expand 1/((x-1)(x-6)^2) is 1/(x^3-13x^2+48x-36)