What is expand (32x^2)/((x-6)(x+2)^2) ?

The solution to expand (32x^2)/((x-6)(x+2)^2) is (32x^2)/(x^3-2x^2-20x-24)

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expand (32x^2)/((x-6)(x+2)^2)

expand

\frac{32 x ^{2}}{( x - 6 ) ( x + 2 ) ^{2}}

\frac{32 x ^{2}}{x ^{3} - 2 x ^{2} - 20 x - 24}

Solution steps

\frac{32 x ^{2}}{( x - 6 ) ( x + 2 ) ^{2}}

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

= \frac{32 x ^{2}}{( x - 6 ) ( x ^{2} + 4 x + 4 )}

Expand

(x - 6) (x^{2} + 4 x + 4) : x^{3} - 2 x^{2} - 20 x - 24

= \frac{32 x ^{2}}{x ^{3} - 2 x ^{2} - 20 x - 24}

\frac{x}{( s ^{2} + x ^{2} ) ( s ^{2} + 4 s + 13 )}

\frac{k ( s + 0.5 )}{( s + 1 ) ( s ^{2} + 2 s ) + k ( s + 0.5 )}

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

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

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

What is expand (32x^2)/((x-6)(x+2)^2) ?
The solution to expand (32x^2)/((x-6)(x+2)^2) is (32x^2)/(x^3-2x^2-20x-24)