What is expand (x^2-2x+k-2)/((x-1)^2(x+2)) ?

The solution to expand (x^2-2x+k-2)/((x-1)^2(x+2)) is (x^2-2x+k-2)/(x^3-3x+2)

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expand (x^2-2x+k-2)/((x-1)^2(x+2))

expand

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

\frac{x ^{2} - 2 x + k - 2}{x ^{3} - 3 x + 2}

Solution steps

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

(x - 1)^{2} = x^{2} - 2 x + 1

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

Expand

(x^{2} - 2 x + 1) (x + 2) : x^{3} - 3 x + 2

= \frac{x ^{2} - 2 x + k - 2}{x ^{3} - 3 x + 2}

x + 1 + (x + 1) e^{- 2 x}

1 1^{l o g_{10} (11) (3 x - 2)}

(1 - p + p \cdot e^{t})^{3}

\frac{( 0.0224 + 2 x ) ^{2}}{( 0.00623 - x ) ( 0.00414 - x )}

- \frac{4 ( - x + 3 ) ^{4}}{27}

What is expand (x^2-2x+k-2)/((x-1)^2(x+2)) ?
The solution to expand (x^2-2x+k-2)/((x-1)^2(x+2)) is (x^2-2x+k-2)/(x^3-3x+2)