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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

6 (x - 3 = x + 2 + x)

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

(2 u + \frac{2}{3} v)^{2}

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

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

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