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

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

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

expand

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

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

Solution steps

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

Expand

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

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

\frac{7 x - 5}{( x - 2 ) ( x + 1 )}

144

\frac{[ f ( x + h ) - 5 x ^{2} - 5 x ]}{h}

+ L (- 2 t^{\frac{3}{2}} + 3 t^{4} + 6)

\frac{x ( x - 8 ) ^{2}}{( x + 11 ) ^{3}}

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