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

The solution to expand 2/(ln(3)(x-3)^3) is 2/(ln(3)x^3-9ln(3)x^2+27ln(3)x-27ln(3))

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

expand

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

\frac{2}{ln ( 3 ) x ^{3} - 9 ln ( 3 ) x ^{2} + 27 ln ( 3 ) x - 27 ln ( 3 )}

Solution steps

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

(x - 3)^{3} = x^{3} - 9 x^{2} + 27 x - 27

= \frac{2}{ln ( 3 ) ( x ^{3} - 9 x ^{2} + 27 x - 27 )}

Expand

ln (3) (x^{3} - 9 x^{2} + 27 x - 27) : ln (3) x^{3} - 9 ln (3) x^{2} + 27 ln (3) x - 27 ln (3)

= \frac{2}{ln ( 3 ) x ^{3} - 9 ln ( 3 ) x ^{2} + 27 ln ( 3 ) x - 27 ln ( 3 )}

- \frac{9}{2} + \frac{14}{27}

\frac{( 5 x ^{4} + 3 x ) ( x + 1 )}{x ^{2} + 3}

(3^{c o t h (x)} - tan (6 x))^{2}

cos (x) (- ln (tan (x) + sec (x)) + sin (x))

(9 + \frac{14}{x - 2}) (x - 2)

What is expand 2/(ln(3)(x-3)^3) ?
The solution to expand 2/(ln(3)(x-3)^3) is 2/(ln(3)x^3-9ln(3)x^2+27ln(3)x-27ln(3))