What is expand (2x^2+4x+1)/((x+1)(x+2)^3) ?

The solution to expand (2x^2+4x+1)/((x+1)(x+2)^3) is (2x^2+4x+1)/(x^4+7x^3+18x^2+20x+8)

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expand (2x^2+4x+1)/((x+1)(x+2)^3)

expand

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

\frac{2 x ^{2} + 4 x + 1}{x ^{4} + 7 x ^{3} + 18 x ^{2} + 20 x + 8}

Solution steps

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

(x + 2)^{3} = x^{3} + 6 x^{2} + 12 x + 8

= \frac{2 x ^{2} + 4 x + 1}{( x + 1 ) ( x ^{3} + 6 x ^{2} + 12 x + 8 )}

Expand

(x + 1) (x^{3} + 6 x^{2} + 12 x + 8) : x^{4} + 7 x^{3} + 18 x^{2} + 20 x + 8

= \frac{2 x ^{2} + 4 x + 1}{x ^{4} + 7 x ^{3} + 18 x ^{2} + 20 x + 8}

\frac{( e ^{5 x} - e ^{- 5 x} ) ^{2}}{4}

(x^{2})^{12}

r^{4} (9 - r^{2}) d x

(f \circ g) (3 x - 3)

cosh (a (t - 5))

What is expand (2x^2+4x+1)/((x+1)(x+2)^3) ?
The solution to expand (2x^2+4x+1)/((x+1)(x+2)^3) is (2x^2+4x+1)/(x^4+7x^3+18x^2+20x+8)