What is expand (3x^3+10x^2+27x+27)/(x^2(x+3)^2) ?

The solution to expand (3x^3+10x^2+27x+27)/(x^2(x+3)^2) is (3x^3+10x^2+27x+27)/(x^4+6x^3+9x^2)

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expand (3x^3+10x^2+27x+27)/(x^2(x+3)^2)

expand

\frac{3 x ^{3} + 10 x ^{2} + 27 x + 27}{x ^{2} ( x + 3 ) ^{2}}

\frac{3 x ^{3} + 10 x ^{2} + 27 x + 27}{x ^{4} + 6 x ^{3} + 9 x ^{2}}

Solution steps

\frac{3 x ^{3} + 10 x ^{2} + 27 x + 27}{x ^{2} ( x + 3 ) ^{2}}

(x + 3)^{2} = x^{2} + 6 x + 9

= \frac{3 x ^{3} + 10 x ^{2} + 27 x + 27}{x ^{2} ( x ^{2} + 6 x + 9 )}

Expand

x^{2} (x^{2} + 6 x + 9) : x^{4} + 6 x^{3} + 9 x^{2}

= \frac{3 x ^{3} + 10 x ^{2} + 27 x + 27}{x ^{4} + 6 x ^{3} + 9 x ^{2}}

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

(x + 2 - 2) (x + 2 + 2)

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

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

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

What is expand (3x^3+10x^2+27x+27)/(x^2(x+3)^2) ?
The solution to expand (3x^3+10x^2+27x+27)/(x^2(x+3)^2) is (3x^3+10x^2+27x+27)/(x^4+6x^3+9x^2)