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

The solution to expand (4x+3)/((x-2)(x+1)^2) is (4x+3)/(x^3-3x-2)

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

expand

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

\frac{4 x + 3}{x ^{3} - 3 x - 2}

Solution steps

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

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

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

Expand

(x - 2) (x^{2} + 2 x + 1) : x^{3} - 3 x - 2

= \frac{4 x + 3}{x ^{3} - 3 x - 2}

(3 x^{2} - \frac{2}{x})^{5}

(- 1 + \frac{4 i}{n})^{2}

(6 - x)^{2}

e^{x} (e^{x} + x e^{x})

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

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