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

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

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expand ((x+1)^3)/((x-1)^2)

expand

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

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

Solution steps

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

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

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

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

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

(3 + 2 x + 4 x^{2})^{5}

\frac{( u + 5 ) ( 24 u - 30 )}{4 u ^{4} - 25 u ^{2}}

(x + 2) \cdot e^{x}

x (x^{2} + x + 1) + y (y^{2} + y + 1)

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

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