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

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

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

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

= (ln (x) + 1)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = ln (x), b = 1

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

Simplify

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

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

\frac{d}{d t} ((x) t (2 t + 1)^{2})

\frac{10 ( 4 23 - 5 )}{49}

\frac{d}{d v} ((x) (u^{2} v + v))

(x, y) (x + 2 y - 3)

- 5 (x + 7 y = 6)

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