What is expand (x(6x+12)(x-2)^2)/(x-3) ?

The solution to expand (x(6x+12)(x-2)^2)/(x-3) is (6x^4-12x^3-24x^2+48x)/(x-3)

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expand (x(6x+12)(x-2)^2)/(x-3)

expand

\frac{x ( 6 x + 12 ) ( x - 2 ) ^{2}}{x - 3}

\frac{6 x ^{4} - 12 x ^{3} - 24 x ^{2} + 48 x}{x - 3}

Solution steps

\frac{x ( 6 x + 12 ) ( x - 2 ) ^{2}}{x - 3}

(x - 2)^{2} = x^{2} - 4 x + 4

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

Expand

x (6 x + 12) (x^{2} - 4 x + 4) : 6 x^{4} - 12 x^{3} - 24 x^{2} + 48 x

= \frac{6 x ^{4} - 12 x ^{3} - 24 x ^{2} + 48 x}{x - 3}

\frac{( e ^{t} + e ^{- t} ) e ^{t}}{2}

\frac{8}{6}

3 x^{2} \cdot (1 - 2 ln (x))

(p^{3})^{2}

2 7^{\frac{1}{3}}

What is expand (x(6x+12)(x-2)^2)/(x-3) ?
The solution to expand (x(6x+12)(x-2)^2)/(x-3) is (6x^4-12x^3-24x^2+48x)/(x-3)