What is expand (x^5-2x^3+x^2+2)/((x+1)(x^2-4x+2)) ?

The solution to expand (x^5-2x^3+x^2+2)/((x+1)(x^2-4x+2)) is (x^5-2x^3+x^2+2)/(x^3-3x^2-2x+2)

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expand (x^5-2x^3+x^2+2)/((x+1)(x^2-4x+2))

expand

\frac{x ^{5} - 2 x ^{3} + x ^{2} + 2}{( x + 1 ) ( x ^{2} - 4 x + 2 )}

\frac{x ^{5} - 2 x ^{3} + x ^{2} + 2}{x ^{3} - 3 x ^{2} - 2 x + 2}

Solution steps

\frac{x ^{5} - 2 x ^{3} + x ^{2} + 2}{( x + 1 ) ( x ^{2} - 4 x + 2 )}

Expand

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

= \frac{x ^{5} - 2 x ^{3} + x ^{2} + 2}{x ^{3} - 3 x ^{2} - 2 x + 2}

(a - 1 + x) l e f t (a + 1 - x)

\frac{( 9 - 4 t ) ( 12 + 9 t )}{2}

(3 + 7) (8 + 2)

g (t) (g (t) = - t)

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

What is expand (x^5-2x^3+x^2+2)/((x+1)(x^2-4x+2)) ?
The solution to expand (x^5-2x^3+x^2+2)/((x+1)(x^2-4x+2)) is (x^5-2x^3+x^2+2)/(x^3-3x^2-2x+2)