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

The solution to expand (x(x-2))/((x+3)(x-4)^2) is (x^2-2x)/(x^3-5x^2-8x+48)

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

expand

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

\frac{x ^{2} - 2 x}{x ^{3} - 5 x ^{2} - 8 x + 48}

Solution steps

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

(x - 4)^{2} = x^{2} - 8 x + 16

= \frac{x ( x - 2 )}{( x + 3 ) ( x ^{2} - 8 x + 16 )}

Expand

(x + 3) (x^{2} - 8 x + 16) : x^{3} - 5 x^{2} - 8 x + 48

= \frac{x ( x - 2 )}{x ^{3} - 5 x ^{2} - 8 x + 48}

Expand

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

= \frac{x ^{2} - 2 x}{x ^{3} - 5 x ^{2} - 8 x + 48}

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

(1 + e^{x}) y^{'} (x)

ln (x) (x - ln (x)) + 1

(1 - e^{- b t}) u (t)

\frac{s ^{2}}{2 ( s - 2 )}

What is expand (x(x-2))/((x+3)(x-4)^2) ?
The solution to expand (x(x-2))/((x+3)(x-4)^2) is (x^2-2x)/(x^3-5x^2-8x+48)