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

The solution to expand (x(u-1)^2)/(u+1) is (xu^2-2xu+x)/(u+1)

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

expand

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

\frac{x u ^{2} - 2 xu + x}{u + 1}

Solution steps

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

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

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

Expand

x (u^{2} - 2 u + 1) : x u^{2} - 2 xu + x

= \frac{x u ^{2} - 2 xu + x}{u + 1}

\frac{( 2 a - 1 ) ^{2}}{4}

(c - e^{r t}) c e^{r t}

\frac{1}{( x - 1 ) ( x ^{2} + 9 )}

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

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

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