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

The solution to expand ((x+2)^2)/(x*(x-2)) is (x^2+4x+4)/(x^2-2x)

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expand ((x+2)^2)/(x*(x-2))

expand

\frac{( x + 2 ) ^{2}}{x \cdot ( x - 2 )}

\frac{x ^{2} + 4 x + 4}{x ^{2} - 2 x}

Solution steps

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

(x + 2)^{2} = x^{2} + 4 x + 4

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

Expand

x (x - 2) : x^{2} - 2 x

= \frac{x ^{2} + 4 x + 4}{x ^{2} - 2 x}

\frac{2 ( 3 x - 1 )}{6 x - 1}

- \frac{x ^{2} ( 9 - 6 x + x ^{2} )}{18}

((y - 1)^{2})^{2}

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

\frac{( x , y )}{( 2 , - 3 )} + k (1, - 6)

What is expand ((x+2)^2)/(x*(x-2)) ?
The solution to expand ((x+2)^2)/(x*(x-2)) is (x^2+4x+4)/(x^2-2x)