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

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

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

expand

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

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

Solution steps

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

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

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

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

(2 + i) e^{- ik t}

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

\frac{2 x - 7}{( 2 x - 1 ) ( 3 x - 1 )}

S (1, - 4, 6)

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