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

The solution to expand (dx)/((x+2)^2(x+1)) is (dx)/(x^3+5x^2+8x+4)

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

expand

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

\frac{d x}{x ^{3} + 5 x ^{2} + 8 x + 4}

Solution steps

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

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

= \frac{d x}{( x ^{2} + 4 x + 4 ) ( x + 1 )}

Expand

(x^{2} + 4 x + 4) (x + 1) : x^{3} + 5 x^{2} + 8 x + 4

= \frac{d x}{x ^{3} + 5 x ^{2} + 8 x + 4}

tanh (x) (- sech^{2} (x) + 1)

- (x + 2) - (x + 1) (x - 1)

- 3 (6 x + 2 y = 14, 0) 6 (3 x + 5 y = 131)

in t er v a l s (x^{2} + x - 2)^{6}

\frac{( x ^{3} + y ^{3} + z ^{3} ) ( x y + x z + yz )}{x yz ( x ^{2} + y ^{2} + z ^{2} )}

What is expand (dx)/((x+2)^2(x+1)) ?
The solution to expand (dx)/((x+2)^2(x+1)) is (dx)/(x^3+5x^2+8x+4)