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

The solution to expand (x^2+2)/((x+2)^2(x+3)) is (x^2+2)/(x^3+7x^2+16x+12)

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

expand

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

\frac{x ^{2} + 2}{x ^{3} + 7 x ^{2} + 16 x + 12}

Solution steps

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

(x + 2)^{2} = x^{2} + 4 x + 4

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

Expand

(x^{2} + 4 x + 4) (x + 3) : x^{3} + 7 x^{2} + 16 x + 12

= \frac{x ^{2} + 2}{x ^{3} + 7 x ^{2} + 16 x + 12}

(\frac{1}{3 - y})^{3}

\frac{d ^{2}}{d t ^{2}} ((s) (t^{5} - 10 t^{2}))

\frac{6}{x ( 3 + 2 x )}

(\frac{x}{y} - y) d y

(62 + 6 e^{6 t} - 6 e^{- 6 t})^{2}

What is expand (x^2+2)/((x+2)^2(x+3)) ?
The solution to expand (x^2+2)/((x+2)^2(x+3)) is (x^2+2)/(x^3+7x^2+16x+12)