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

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

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

expand

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

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

Solution steps

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

(x^{2} - x + 1)^{2} = x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 1

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

- 2 (4 + 5)

\frac{- 2 s ^{2} - 3 s - 2}{s ( s + 1 ) ^{2}}

π (22 - \frac{3}{2})

(x + 100) \cdot tan (\frac{1631 π}{6000})

3 (cos (x^{3} + 2))^{2} (- sin (x^{3} + 2)) (3 x^{2} + 2)

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