What is expand (2x(2x-4)(3x+9))/((x-1)(x+2)) ?

The solution to expand (2x(2x-4)(3x+9))/((x-1)(x+2)) is (12x^3+12x^2-72x)/(x^2+x-2)

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expand (2x(2x-4)(3x+9))/((x-1)(x+2))

expand

\frac{2 x ( 2 x - 4 ) ( 3 x + 9 )}{( x - 1 ) ( x + 2 )}

\frac{12 x ^{3} + 12 x ^{2} - 72 x}{x ^{2} + x - 2}

Solution steps

\frac{2 x ( 2 x - 4 ) ( 3 x + 9 )}{( x - 1 ) ( x + 2 )}

Expand

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

= \frac{2 x ( 2 x - 4 ) ( 3 x + 9 )}{x ^{2} + x - 2}

Expand

2 x (2 x - 4) (3 x + 9) : 12 x^{3} + 12 x^{2} - 72 x

= \frac{12 x ^{3} + 12 x ^{2} - 72 x}{x ^{2} + x - 2}

\frac{s - 1}{s ( s ^{3} + 3 s ^{2} - s + 6 )}

(6 x y - 2 y^{2} + 1) d x + (3 x^{2} - 4 x y) d y

x (3 x - 2) d x

(4 - 7 i)^{4}

\frac{k ( k + 1 ) ( 2 k + 1 )}{6} + (k + 1)

What is expand (2x(2x-4)(3x+9))/((x-1)(x+2)) ?
The solution to expand (2x(2x-4)(3x+9))/((x-1)(x+2)) is (12x^3+12x^2-72x)/(x^2+x-2)