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

The solution to expand 1/((x-1)^2(s+2)(2s+1)) is 1/(2x^2s^2+5x^2s+2x^2-4xs^2-10xs-4x+2s^2+5s+2)

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

expand

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

\frac{1}{2 x ^{2} s ^{2} + 5 x ^{2} s + 2 x ^{2} - 4 x s ^{2} - 10 x s - 4 x + 2 s ^{2} + 5 s + 2}

Solution steps

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

(x - 1)^{2} = x^{2} - 2 x + 1

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

Expand

(x^{2} - 2 x + 1) (s + 2) (2 s + 1) : 2 x^{2} s^{2} + 5 x^{2} s + 2 x^{2} - 4 x s^{2} - 10 x s - 4 x + 2 s^{2} + 5 s + 2

= \frac{1}{2 x ^{2} s ^{2} + 5 x ^{2} s + 2 x ^{2} - 4 x s ^{2} - 10 x s - 4 x + 2 s ^{2} + 5 s + 2}

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

- \frac{( - 1 ) ^{n} - 1}{n ^{2}}

5 (311)

3^{12}

\frac{25 ( 69 - 4313 )}{4}

What is expand 1/((x-1)^2(s+2)(2s+1)) ?
The solution to expand 1/((x-1)^2(s+2)(2s+1)) is 1/(2x^2s^2+5x^2s+2x^2-4xs^2-10xs-4x+2s^2+5s+2)