What is expand (5x^2-6x+7)/((x+1)(x^2+1)) ?

The solution to expand (5x^2-6x+7)/((x+1)(x^2+1)) is (5x^2-6x+7)/(x^3+x+x^2+1)

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expand (5x^2-6x+7)/((x+1)(x^2+1))

expand

\frac{5 x ^{2} - 6 x + 7}{( x + 1 ) ( x ^{2} + 1 )}

\frac{5 x ^{2} - 6 x + 7}{x ^{3} + x + x ^{2} + 1}

Solution steps

\frac{5 x ^{2} - 6 x + 7}{( x + 1 ) ( x ^{2} + 1 )}

Expand

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

= \frac{5 x ^{2} - 6 x + 7}{x ^{3} + x + x ^{2} + 1}

\frac{- 2 s ^{2} + 7 s - 2}{( s - 1 ) ^{2} ( s - 2 ) ( s ^{2} + 4 )}

(x - 5) (x - 6 i)

\frac{d}{d r ( x )} ((x) (\frac{r ( x ) ^{2}}{4} - r (x) s + s^{2}))

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

What is expand (5x^2-6x+7)/((x+1)(x^2+1)) ?
The solution to expand (5x^2-6x+7)/((x+1)(x^2+1)) is (5x^2-6x+7)/(x^3+x+x^2+1)