What is expand (2x^2-6x-4)/(x(x-2)^2) ?

The solution to expand (2x^2-6x-4)/(x(x-2)^2) is (2x^2-6x-4)/(x^3-4x^2+4x)

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expand (2x^2-6x-4)/(x(x-2)^2)

expand

\frac{2 x ^{2} - 6 x - 4}{x ( x - 2 ) ^{2}}

\frac{2 x ^{2} - 6 x - 4}{x ^{3} - 4 x ^{2} + 4 x}

Solution steps

\frac{2 x ^{2} - 6 x - 4}{x ( x - 2 ) ^{2}}

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

= \frac{2 x ^{2} - 6 x - 4}{x ( x ^{2} - 4 x + 4 )}

Expand

x (x^{2} - 4 x + 4) : x^{3} - 4 x^{2} + 4 x

= \frac{2 x ^{2} - 6 x - 4}{x ^{3} - 4 x ^{2} + 4 x}

x + (y - 2 x) \frac{d y}{d x}

\frac{1}{4} (2 (x - 1) + 10 = x)

\frac{( n - 1 ) n}{2} + (n - 1)

\frac{( a + b ) ^{2}}{( - b + a )}

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

What is expand (2x^2-6x-4)/(x(x-2)^2) ?
The solution to expand (2x^2-6x-4)/(x(x-2)^2) is (2x^2-6x-4)/(x^3-4x^2+4x)