What is expand (10x-6)/((x-3)^4) ?

The solution to expand (10x-6)/((x-3)^4) is (10x-6)/(x^4-12x^3+54x^2-108x+81)

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expand (10x-6)/((x-3)^4)

expand

\frac{10 x - 6}{( x - 3 ) ^{4}}

\frac{10 x - 6}{x ^{4} - 12 x ^{3} + 54 x ^{2} - 108 x + 81}

Solution steps

\frac{10 x - 6}{( x - 3 ) ^{4}}

(x - 3)^{4} = x^{4} - 12 x^{3} + 54 x^{2} - 108 x + 81

= \frac{10 x - 6}{x ^{4} - 12 x ^{3} + 54 x ^{2} - 108 x + 81}

(ab)^{2} + (b v)^{2} + (v a)^{2}

a^{k (k + 1)}

(cot (θ) - tan (θ)) \cdot tan (2 θ)

\frac{e ^{- 5 s} - e ^{- 3 s} + 7 s + 18}{( s - 4 ) ( s + 1 )}

\frac{( x ( x + 1 ) )}{2} + \frac{1}{4} - C e^{2 x}

What is expand (10x-6)/((x-3)^4) ?
The solution to expand (10x-6)/((x-3)^4) is (10x-6)/(x^4-12x^3+54x^2-108x+81)