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

The solution to expand (x+2)(2-3/x)^6 is ((2x-3)^6)/(x^5)+(2(2x-3)^6)/(x^6)

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

expand

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

\frac{( 2 x - 3 ) ^{6}}{x ^{5}} + \frac{2 ( 2 x - 3 ) ^{6}}{x ^{6}}

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

(2 - \frac{3}{x})^{6} x + (2 - \frac{3}{x})^{6} \cdot 2 : \frac{( 2 x - 3 ) ^{6}}{x ^{5}} + \frac{2 ( 2 x - 3 ) ^{6}}{x ^{6}}

= \frac{( 2 x - 3 ) ^{6}}{x ^{5}} + \frac{2 ( 2 x - 3 ) ^{6}}{x ^{6}}

\frac{\partial}{\partial y} ((z) (4 x^{2} y + 3 y - 5))

(x + y - 1) d x - (2 x - y + 1) d y

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

e^{p} (p + p p)

(x^{2} + sin (x)) sec (x)

What is expand (x+2)(2-3/x)^6 ?
The solution to expand (x+2)(2-3/x)^6 is ((2x-3)^6)/(x^5)+(2(2x-3)^6)/(x^6)