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

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

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

expand

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

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

Solution steps

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

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

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

(4 d + 3 e - 8 f) - (- 3 d +, - 5 f + 6)

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

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

\frac{x ^{4} - 12 x ^{2}}{( x ^{2} - 4 ) ^{2}}

\frac{n}{( n + 1 ) ( n + 2 ) ( n + 3 )}

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