What is expand (x^4(1-x)^4)/(1+x^2) ?

The solution to expand (x^4(1-x)^4)/(1+x^2) is (x^4-4x^5+6x^6-4x^7+x^8)/(1+x^2)

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expand (x^4(1-x)^4)/(1+x^2)

expand

\frac{x ^{4} ( 1 - x ) ^{4}}{1 + x ^{2}}

\frac{x ^{4} - 4 x ^{5} + 6 x ^{6} - 4 x ^{7} + x ^{8}}{1 + x ^{2}}

Solution steps

\frac{x ^{4} ( 1 - x ) ^{4}}{1 + x ^{2}}

(1 - x)^{4} = 1 - 4 x + 6 x^{2} - 4 x^{3} + x^{4}

= \frac{x ^{4} ( x ^{4} - 4 x ^{3} + 6 x ^{2} - 4 x + 1 )}{1 + x ^{2}}

Expand

x^{4} (1 - 4 x + 6 x^{2} - 4 x^{3} + x^{4}) : x^{4} - 4 x^{5} + 6 x^{6} - 4 x^{7} + x^{8}

= \frac{x ^{4} - 4 x ^{5} + 6 x ^{6} - 4 x ^{7} + x ^{8}}{1 + x ^{2}}

2 (2 - 3)

(3 x + \frac{k}{x})^{8}

(r + sin (θ) - cos (θ)) d r + r (sin (θ) + cos (θ)) d θ

(x + 4 + 1)^{2}

e^{x} (x - 2)

What is expand (x^4(1-x)^4)/(1+x^2) ?
The solution to expand (x^4(1-x)^4)/(1+x^2) is (x^4-4x^5+6x^6-4x^7+x^8)/(1+x^2)