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}

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{k - s ^{2}}{s ^{2} ( s + a )}

2 (5 - 3 a) - 4 (a + 7 = 92)

(1, 0, 2) x (1, - 4, 1)

\frac{2401 ( - π + 3 3 )}{6}

2 (9 e^{x} + e^{x} x)

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