What is expand (4x^3-19x^2+28x-4)/((x-2)^2) ?

The solution to expand (4x^3-19x^2+28x-4)/((x-2)^2) is (4x^3-19x^2+28x-4)/(x^2-4x+4)

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expand (4x^3-19x^2+28x-4)/((x-2)^2)

expand

\frac{4 x ^{3} - 19 x ^{2} + 28 x - 4}{( x - 2 ) ^{2}}

\frac{4 x ^{3} - 19 x ^{2} + 28 x - 4}{x ^{2} - 4 x + 4}

Solution steps

\frac{4 x ^{3} - 19 x ^{2} + 28 x - 4}{( x - 2 ) ^{2}}

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

= \frac{4 x ^{3} - 19 x ^{2} + 28 x - 4}{x ^{2} - 4 x + 4}

\frac{L}{s ( s L + R )}

\frac{1}{( 1 + 3 x ) ^{4}}

\frac{d}{d x} ((2 x + 3) (e^{x})) + (x^{2} + 3 x) e^{x}

\frac{10}{( x - 1 ) ( x ^{2} + 9 )}

\frac{s + 2}{( s + 4 ) ( s ^{2} + 7 s + 12 )}

What is expand (4x^3-19x^2+28x-4)/((x-2)^2) ?
The solution to expand (4x^3-19x^2+28x-4)/((x-2)^2) is (4x^3-19x^2+28x-4)/(x^2-4x+4)