What is expand (x^7+2)/((x^2+x+1)^2) ?

The solution to expand (x^7+2)/((x^2+x+1)^2) is (x^7+2)/(x^4+2x^3+3x^2+2x+1)

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expand (x^7+2)/((x^2+x+1)^2)

expand

\frac{x ^{7} + 2}{( x ^{2} + x + 1 ) ^{2}}

\frac{x ^{7} + 2}{x ^{4} + 2 x ^{3} + 3 x ^{2} + 2 x + 1}

Solution steps

\frac{x ^{7} + 2}{( x ^{2} + x + 1 ) ^{2}}

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

= \frac{x ^{7} + 2}{x ^{4} + 2 x ^{3} + 3 x ^{2} + 2 x + 1}

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

\frac{1}{2} (e^{t} - e^{- t})

\frac{d}{d x} ((z) (x^{2} + z^{2}))

(3 x + 4 y = - 2) 5

(x^{2} - 1) y + y^{2} (x + 1) y^{'} (x)

What is expand (x^7+2)/((x^2+x+1)^2) ?
The solution to expand (x^7+2)/((x^2+x+1)^2) is (x^7+2)/(x^4+2x^3+3x^2+2x+1)