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

The solution to expand (x^3)/((x-2)(x-6)^2) is (x^3)/(x^3-14x^2+60x-72)

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

expand

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

\frac{x ^{3}}{x ^{3} - 14 x ^{2} + 60 x - 72}

Solution steps

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

(x - 6)^{2} = x^{2} - 12 x + 36

= \frac{x ^{3}}{( x - 2 ) ( x ^{2} - 12 x + 36 )}

Expand

(x - 2) (x^{2} - 12 x + 36) : x^{3} - 14 x^{2} + 60 x - 72

= \frac{x ^{3}}{x ^{3} - 14 x ^{2} + 60 x - 72}

- x (x + Δ x + 7)

\frac{n ( n ^{2} - 1 )}{3}

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

(x cos (y)) (x + d x)

(y - x y^{'} (x))^{4}

What is expand (x^3)/((x-2)(x-6)^2) ?
The solution to expand (x^3)/((x-2)(x-6)^2) is (x^3)/(x^3-14x^2+60x-72)