What is expand (4x-(x^3)/5)dx ?

The solution to expand (4x-(x^3)/5)dx is 4xdx-(x^3dx)/5

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expand (4x-(x^3)/5)dx

expand

(4 x - \frac{x ^{3}}{5}) d x

4 x d x - \frac{x ^{3} d x}{5}

Solution steps

(4 x - \frac{x ^{3}}{5}) d x

Apply the distributive law:

a (b - c) = ab - a c

a = d x, b = 4 x, c = \frac{x ^{3}}{5}

= d x \cdot 4 x - d x \frac{x ^{3}}{5}

= 4 x d x - \frac{x ^{3}}{5} d x

Multiply

\frac{x ^{3}}{5} d x : \frac{x ^{3} d x}{5}

= 4 x d x - \frac{x ^{3} d x}{5}

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- \frac{6}{( 2 + x ) ^{4}}

What is expand (4x-(x^3)/5)dx ?
The solution to expand (4x-(x^3)/5)dx is 4xdx-(x^3dx)/5