What is expand 2x^3(4ln(x)+1) ?

The solution to expand 2x^3(4ln(x)+1) is 8x^3ln(x)+2x^3

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expand 2x^3(4ln(x)+1)

expand

2 x^{3} (4 ln (x) + 1)

8 x^{3} ln (x) + 2 x^{3}

Solution steps

2 x^{3} (4 ln (x) + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = 2 x^{3}, b = 4 ln (x), c = 1

= 2 x^{3} \cdot 4 ln (x) + 2 x^{3} \cdot 1

= 2 \cdot 4 x^{3} ln (x) + 2 \cdot 1 \cdot x^{3}

Simplify

2 \cdot 4 x^{3} ln (x) + 2 \cdot 1 \cdot x^{3} : 8 x^{3} ln (x) + 2 x^{3}

= 8 x^{3} ln (x) + 2 x^{3}

\frac{d}{d t} ((x) (4 t - x))

(x + Δ x)^{2} - 2 (x + Δ x) + 3

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

\frac{8}{8 - 7}

(6 x - 3) (2 x + 4 = 3)

What is expand 2x^3(4ln(x)+1) ?
The solution to expand 2x^3(4ln(x)+1) is 8x^3ln(x)+2x^3