What is expand sqrt(x^2+((4x)/(x-2))^2) ?

The solution to expand sqrt(x^2+((4x)/(x-2))^2) is sqrt((x^4-4x^3+20x^2)/(x^2-4x+4))

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expand sqrt(x^2+((4x)/(x-2))^2)

expand

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

\frac{x ^{4} - 4 x ^{3} + 20 x ^{2}}{x ^{2} - 4 x + 4}

Solution steps

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

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

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

Join

x^{2} + \frac{4 ^{2} x ^{2}}{x ^{2} - 4 x + 4} : \frac{x ^{4} - 4 x ^{3} + 20 x ^{2}}{x ^{2} - 4 x + 4}

= \frac{x ^{4} - 4 x ^{3} + 20 x ^{2}}{x ^{2} - 4 x + 4}

\frac{3 x}{2} - \frac{3}{2 π} (100 - 3 x)

\frac{( z ^{2} + z )}{( ( z - 1 ) ( z ^{2} + 1 ) )}

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

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

8 + 2 k + (8, 8 + k) \cdot (x - 0, y - 2)

What is expand sqrt(x^2+((4x)/(x-2))^2) ?
The solution to expand sqrt(x^2+((4x)/(x-2))^2) is sqrt((x^4-4x^3+20x^2)/(x^2-4x+4))