What is expand 1/(x^3*(t-1)^2) ?

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

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expand 1/(x^3*(t-1)^2)

expand

\frac{1}{x ^{3} \cdot ( t - 1 ) ^{2}}

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

Solution steps

\frac{1}{x ^{3} ( t - 1 ) ^{2}}

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

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

Expand

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

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

(4 - 2 ln (t))^{4}

\frac{360 ( x - 2 )}{x ( x + 1 )}

(e^{x} + e^{- x})^{6}

(4, - 1, - 2) x (2, 3, - 6)

(x^{2} + x y) d x + y^{2} d y

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