What is expand ((x-3)^{8n}(x+3))/((x-2)(x-4)) ?

The solution to expand ((x-3)^{8n}(x+3))/((x-2)(x-4)) is (x(x-3)^{8n}+3(x-3)^{8n})/(x^2-6x+8)

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expand ((x-3)^{8n}(x+3))/((x-2)(x-4))

expand

\frac{( x - 3 ) ^{8 n} ( x + 3 )}{( x - 2 ) ( x - 4 )}

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

Solution steps

\frac{( x - 3 ) ^{8 n} ( x + 3 )}{( x - 2 ) ( x - 4 )}

Expand

(x - 2) (x - 4) : x^{2} - 6 x + 8

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

Expand

(x - 3)^{8 n} (x + 3) : x (x - 3)^{8 n} + 3 (x - 3)^{8 n}

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

(a - b)^{5}

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

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

\frac{( x + y - 2 ) ^{3}}{y + 1}

(sin (θ) - 1) \cdot (3 sin (θ))

What is expand ((x-3)^{8n}(x+3))/((x-2)(x-4)) ?
The solution to expand ((x-3)^{8n}(x+3))/((x-2)(x-4)) is (x(x-3)^{8n}+3(x-3)^{8n})/(x^2-6x+8)