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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

45 + 4 y^{x + 2} - x^{2 (x + 2)}

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

y^{2} d x + x (x + y) d y

lo g_{5} (x^{3} y)

x - \frac{1}{6} x (x - 1) + \frac{1}{60} x (x - 1) (x - 4)

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