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

The solution to expand ((x-2)^3)/((x-4)^4) is (x^3-6x^2+12x-8)/(x^4-16x^3+96x^2-256x+256)

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

expand

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

\frac{x ^{3} - 6 x ^{2} + 12 x - 8}{x ^{4} - 16 x ^{3} + 96 x ^{2} - 256 x + 256}

Solution steps

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

(x - 4)^{4} = x^{4} - 16 x^{3} + 96 x^{2} - 256 x + 256

= \frac{( x - 2 ) ^{3}}{x ^{4} - 16 x ^{3} + 96 x ^{2} - 256 x + 256}

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= \frac{x ^{3} - 6 x ^{2} + 12 x - 8}{x ^{4} - 16 x ^{3} + 96 x ^{2} - 256 x + 256}

(x^{2} + 3 x - 2) (ln (x))

(1 + 2 x - x^{2})^{6}

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

\frac{( 2 x - k ) ^{2}}{4}

t e^{x t} (e^{jb t} + e^{- jb t})

What is expand ((x-2)^3)/((x-4)^4) ?
The solution to expand ((x-2)^3)/((x-4)^4) is (x^3-6x^2+12x-8)/(x^4-16x^3+96x^2-256x+256)