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

The solution to expand 1/((x-1)^2(x^2+2)) is 1/(x^4+3x^2-2x^3-4x+2)

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

expand

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

\frac{1}{x ^{4} + 3 x ^{2} - 2 x ^{3} - 4 x + 2}

Solution steps

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

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

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

Expand

(x^{2} - 2 x + 1) (x^{2} + 2) : x^{4} + 3 x^{2} - 2 x^{3} - 4 x + 2

= \frac{1}{x ^{4} + 3 x ^{2} - 2 x ^{3} - 4 x + 2}

\frac{x ( 100 - x )}{4}

(11 y - 13) (- 8 y + 16)

A (4, 5) B (3, - 2) C (1, - 4)

(e^{5} + 9)^{2}

\frac{7 ( y ^{2} - x ^{2} )}{y + z + 1}

What is expand 1/((x-1)^2(x^2+2)) ?
The solution to expand 1/((x-1)^2(x^2+2)) is 1/(x^4+3x^2-2x^3-4x+2)