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

The solution to expand x/((x^2+1)(tx+1)) is x/(x^3t+x^2+xt+1)

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

expand

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

\frac{x}{x ^{3} t + x ^{2} + x t + 1}

Solution steps

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

Expand

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

= \frac{x}{x ^{3} t + x ^{2} + x t + 1}

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

\frac{x + 8}{x ( x + 11 )}

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

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

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

What is expand x/((x^2+1)(tx+1)) ?
The solution to expand x/((x^2+1)(tx+1)) is x/(x^3t+x^2+xt+1)