What is expand (5x^2-2x+12)/((x+2)(x-1)^2) ?

The solution to expand (5x^2-2x+12)/((x+2)(x-1)^2) is (5x^2-2x+12)/(x^3-3x+2)

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expand (5x^2-2x+12)/((x+2)(x-1)^2)

expand

\frac{5 x ^{2} - 2 x + 12}{( x + 2 ) ( x - 1 ) ^{2}}

\frac{5 x ^{2} - 2 x + 12}{x ^{3} - 3 x + 2}

Solution steps

\frac{5 x ^{2} - 2 x + 12}{( x + 2 ) ( x - 1 ) ^{2}}

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

= \frac{5 x ^{2} - 2 x + 12}{( x + 2 ) ( x ^{2} - 2 x + 1 )}

Expand

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

= \frac{5 x ^{2} - 2 x + 12}{x ^{3} - 3 x + 2}

(1 - 2 i)^{9} 6

(3 x^{2} + 4 e^{y}) d x + (2 R x e^{y} + 5) d y

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

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

(x + Δ)^{3}

What is expand (5x^2-2x+12)/((x+2)(x-1)^2) ?
The solution to expand (5x^2-2x+12)/((x+2)(x-1)^2) is (5x^2-2x+12)/(x^3-3x+2)