What is expand (x^3-5x^2+6x+2)/((x-2)^2) ?

The solution to expand (x^3-5x^2+6x+2)/((x-2)^2) is (x^3-5x^2+6x+2)/(x^2-4x+4)

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expand (x^3-5x^2+6x+2)/((x-2)^2)

expand

\frac{x ^{3} - 5 x ^{2} + 6 x + 2}{( x - 2 ) ^{2}}

\frac{x ^{3} - 5 x ^{2} + 6 x + 2}{x ^{2} - 4 x + 4}

Solution steps

\frac{x ^{3} - 5 x ^{2} + 6 x + 2}{( x - 2 ) ^{2}}

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

= \frac{x ^{3} - 5 x ^{2} + 6 x + 2}{x ^{2} - 4 x + 4}

6 x^{2} (2 x^{3} - 3)^{5} d x

(e^{2 t} sin (t) + e^{2 t} cos (t))^{2}

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

\frac{2 x ^{4} - 6 x ^{2} + 12}{( x + 1 ) ( x - 1 )}

\frac{d}{d x} (3 x cos (2 x)) + (3 x^{2} - 5) sin (2 x)

What is expand (x^3-5x^2+6x+2)/((x-2)^2) ?
The solution to expand (x^3-5x^2+6x+2)/((x-2)^2) is (x^3-5x^2+6x+2)/(x^2-4x+4)