What is expand (12x+36)/(x^2(x+6)^2) ?

The solution to expand (12x+36)/(x^2(x+6)^2) is (12x+36)/(x^4+12x^3+36x^2)

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expand (12x+36)/(x^2(x+6)^2)

expand

\frac{12 x + 36}{x ^{2} ( x + 6 ) ^{2}}

\frac{12 x + 36}{x ^{4} + 12 x ^{3} + 36 x ^{2}}

Solution steps

\frac{12 x + 36}{x ^{2} ( x + 6 ) ^{2}}

(x + 6)^{2} = x^{2} + 12 x + 36

= \frac{12 x + 36}{x ^{2} ( x ^{2} + 12 x + 36 )}

Expand

x^{2} (x^{2} + 12 x + 36) : x^{4} + 12 x^{3} + 36 x^{2}

= \frac{12 x + 36}{x ^{4} + 12 x ^{3} + 36 x ^{2}}

(6 x^{2} - 5 x) e^{x}

(sin^{2} (x) - y) d x - tan (x)

2 (sin (ln (x)) + cos (ln (x)))

(5 x + 3)^{2} \cdot ln (5 x + 3)

5 (2 x e^{3 x} + e^{3 x} \cdot 3 x^{2})

What is expand (12x+36)/(x^2(x+6)^2) ?
The solution to expand (12x+36)/(x^2(x+6)^2) is (12x+36)/(x^4+12x^3+36x^2)