What is expand (3x-3/x)^5(2x^3-1) ?

The solution to expand (3x-3/x)^5(2x^3-1) is (2(3x^2-3)^5)/(x^2)-((3x^2-3)^5)/(x^5)

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expand (3x-3/x)^5(2x^3-1)

expand

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

\frac{2 ( 3 x ^{2} - 3 ) ^{5}}{x ^{2}} - \frac{( 3 x ^{2} - 3 ) ^{5}}{x ^{5}}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

(3 x - \frac{3}{x})^{5} (2 x^{3} - 1) = (3 x - \frac{3}{x})^{5} \cdot 2 x^{3} - (3 x - \frac{3}{x})^{5} \cdot 1

= (3 x - \frac{3}{x})^{5} \cdot 2 x^{3} - (3 x - \frac{3}{x})^{5} \cdot 1

Simplify

(3 x - \frac{3}{x})^{5} \cdot 2 x^{3} - (3 x - \frac{3}{x})^{5} \cdot 1 : \frac{2 ( 3 x ^{2} - 3 ) ^{5}}{x ^{2}} - \frac{( 3 x ^{2} - 3 ) ^{5}}{x ^{5}}

= \frac{2 ( 3 x ^{2} - 3 ) ^{5}}{x ^{2}} - \frac{( 3 x ^{2} - 3 ) ^{5}}{x ^{5}}

\frac{d}{d x} ((z (x, y)) (x^{2} + y^{2} + x y))

y (6 - 3 y - x)^{2}

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

x (x^{5} e^{13 x} + 3)

tan (x) (tan (x) - 1)

What is expand (3x-3/x)^5(2x^3-1) ?
The solution to expand (3x-3/x)^5(2x^3-1) is (2(3x^2-3)^5)/(x^2)-((3x^2-3)^5)/(x^5)