What is expand (6x+3)/((x-4)^2(x-2)) ?

The solution to expand (6x+3)/((x-4)^2(x-2)) is (6x+3)/(x^3-10x^2+32x-32)

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expand (6x+3)/((x-4)^2(x-2))

expand

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

\frac{6 x + 3}{x ^{3} - 10 x ^{2} + 32 x - 32}

Solution steps

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

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

= \frac{6 x + 3}{( x ^{2} - 8 x + 16 ) ( x - 2 )}

Expand

(x^{2} - 8 x + 16) (x - 2) : x^{3} - 10 x^{2} + 32 x - 32

= \frac{6 x + 3}{x ^{3} - 10 x ^{2} + 32 x - 32}

\frac{9 x ^{2} - 18 x - 3}{( x - 2 ) ^{2}}

+ (9 t^{2} e^{- 4 t} - 3) y

\frac{4 s ^{2}}{( s - 3 ) ^{5}}

6 \cdot 5 + 6 \cdot 2

\frac{1}{( s ( s ^{2} + 2 a s + w ^{2} ) )}

What is expand (6x+3)/((x-4)^2(x-2)) ?
The solution to expand (6x+3)/((x-4)^2(x-2)) is (6x+3)/(x^3-10x^2+32x-32)