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

The solution to expand (x+2)/((x+1)^2(x+3)) is (x+2)/(x^3+5x^2+7x+3)

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

expand

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

\frac{x + 2}{x ^{3} + 5 x ^{2} + 7 x + 3}

Solution steps

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

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

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

Expand

(x^{2} + 2 x + 1) (x + 3) : x^{3} + 5 x^{2} + 7 x + 3

= \frac{x + 2}{x ^{3} + 5 x ^{2} + 7 x + 3}

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

\frac{d}{d x} (- a (x) e^{b (x - 190)}) - 15

(a + b) (a - b) (a^{2} - b) + b

\frac{4 x - 1}{2 ( 2 x ^{2} - 1 )}

\frac{11560}{60}

What is expand (x+2)/((x+1)^2(x+3)) ?
The solution to expand (x+2)/((x+1)^2(x+3)) is (x+2)/(x^3+5x^2+7x+3)