What is expand (x-t+1)/((-t+x)(t+x)(t-x)) ?

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

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expand (x-t+1)/((-t+x)(t+x)(t-x))

expand

\frac{x - t + 1}{( - t + x ) ( t + x ) ( t - x )}

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

Solution steps

\frac{x - t + 1}{( - t + x ) ( t + x ) ( t - x )}

Expand

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

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

4 x^{3} (x^{2})

(4 + Δ x)^{3}

\frac{( x - 3 ) ^{2} x ( x + 3 )}{10}

\frac{( x ^{2} - 2 x + 2 ) ln ( 6 x )}{x - 4}

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

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