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

The solution to expand (x^2+2x-1)/((x^2-x-2)^2) is (x^2+2x-1)/(x^4-2x^3-3x^2+4x+4)

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

expand

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

\frac{x ^{2} + 2 x - 1}{x ^{4} - 2 x ^{3} - 3 x ^{2} + 4 x + 4}

Solution steps

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

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

= \frac{x ^{2} + 2 x - 1}{x ^{4} - 2 x ^{3} - 3 x ^{2} + 4 x + 4}

5 (2 + 3)

(e^{i t} - e^{- i t})^{5}

(1 - tan (x)) (cos (2 x))

(tan (2 x) + tan (x)) (cos (3 x) + cos (x))

\frac{3 x + 5}{( x + 1 ) ( x ^{2} + 3 x + 2 )}

What is expand (x^2+2x-1)/((x^2-x-2)^2) ?
The solution to expand (x^2+2x-1)/((x^2-x-2)^2) is (x^2+2x-1)/(x^4-2x^3-3x^2+4x+4)