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

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

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

expand

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

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

Solution steps

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

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

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

(2, 3) y (6, - 5)

- (a + b) x + cy + d z

6 (x + Δ x)^{3}

\frac{d}{d x} ((0.8 x - 8) (0.5 x + 6)) + 85

\frac{10}{( 2 - x ) ^{2}}

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