What is expand (4x^5+2x^4-4x^3)/((x+1)^2) ?

The solution to expand (4x^5+2x^4-4x^3)/((x+1)^2) is (4x^5+2x^4-4x^3)/(x^2+2x+1)

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expand (4x^5+2x^4-4x^3)/((x+1)^2)

expand

\frac{4 x ^{5} + 2 x ^{4} - 4 x ^{3}}{( x + 1 ) ^{2}}

\frac{4 x ^{5} + 2 x ^{4} - 4 x ^{3}}{x ^{2} + 2 x + 1}

Solution steps

\frac{4 x ^{5} + 2 x ^{4} - 4 x ^{3}}{( x + 1 ) ^{2}}

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

= \frac{4 x ^{5} + 2 x ^{4} - 4 x ^{3}}{x ^{2} + 2 x + 1}

- 2

\frac{1}{3} (2 - x)^{3}

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

\frac{( x + 1 ) ( x ^{5} - 4 x ^{4} + 4 x ^{3} - 6 x - 2 )}{x}

(u - v)^{2}

What is expand (4x^5+2x^4-4x^3)/((x+1)^2) ?
The solution to expand (4x^5+2x^4-4x^3)/((x+1)^2) is (4x^5+2x^4-4x^3)/(x^2+2x+1)