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

The solution to expand (x^2+2)/((x^2+3)(x+2)^2) is (x^2+2)/(x^4+4x^3+7x^2+12x+12)

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

expand

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

\frac{x ^{2} + 2}{x ^{4} + 4 x ^{3} + 7 x ^{2} + 12 x + 12}

Solution steps

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

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

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

Expand

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

= \frac{x ^{2} + 2}{x ^{4} + 4 x ^{3} + 7 x ^{2} + 12 x + 12}

(x^{\frac{3}{2}} - 2 y^{\frac{1}{2}}) (7 x^{\frac{1}{2}} + y^{\frac{3}{2}})

(45 - \frac{Q}{400}) \cdot Q

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

sin (\frac{12 π}{3} + π x)

(x - 3 - 6) (x - 3 + 6)

What is expand (x^2+2)/((x^2+3)(x+2)^2) ?
The solution to expand (x^2+2)/((x^2+3)(x+2)^2) is (x^2+2)/(x^4+4x^3+7x^2+12x+12)