What is expand sqrt(3)x(x+x^4)dx ?

The solution to expand sqrt(3)x(x+x^4)dx is sqrt(3)x^2dx+sqrt(3)x^5dx

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expand sqrt(3)x(x+x^4)dx

expand

3 x (x + x^{4}) d x

3 x^{2} d x + 3 x^{5} d x

Solution steps

3 x (x + x^{4}) d x

Apply the distributive law:

a (b + c) = ab + a c

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

= 3 x d xx + 3 x d x x^{4}

= 3 xx d x + 3 x^{4} x d x

Simplify

3 xx d x + 3 x^{4} x d x : 3 x^{2} d x + 3 x^{5} d x

= 3 x^{2} d x + 3 x^{5} d x

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What is expand sqrt(3)x(x+x^4)dx ?
The solution to expand sqrt(3)x(x+x^4)dx is sqrt(3)x^2dx+sqrt(3)x^5dx