What is expand x^3(2x+cos(4x)4) ?

The solution to expand x^3(2x+cos(4x)4) is 2x^4+4x^3cos(4x)

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expand x^3(2x+cos(4x)4)

expand

x^{3} (2 x + cos (4 x) 4)

2 x^{4} + 4 x^{3} cos (4 x)

Solution steps

x^{3} (2 x + cos (4 x) \cdot 4)

Apply the distributive law:

a (b + c) = ab + a c

x^{3} (2 x + cos (4 x) \cdot 4) = x^{3} \cdot 2 x + x^{3} cos (4 x) \cdot 4

= x^{3} \cdot 2 x + x^{3} cos (4 x) \cdot 4

Simplify

x^{3} \cdot 2 x + x^{3} cos (4 x) \cdot 4 : 2 x^{4} + 4 x^{3} cos (4 x)

= 2 x^{4} + 4 x^{3} cos (4 x)

4 e^{x} (sin (x) + cos (x))

(23 + 2 i)^{7}

A (2 x e^{4 x} + e^{4 x} \cdot 4 x^{2})

(11 + cot (x)) (11 - cot (x)) + csc^{2} (x)

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

What is expand x^3(2x+cos(4x)4) ?
The solution to expand x^3(2x+cos(4x)4) is 2x^4+4x^3cos(4x)