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

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

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expand (1+ln(2))^3

expand

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

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

Decimal Notation

4.85382 \dots

Solution steps

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

Apply Perfect Cube Formula:

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

a = 1, b = ln (2)

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

Simplify

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

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

x^{2} (cos^{2} (y) - sin^{2} (y))

(2 x + 4) (x)

(\frac{3 a}{2} - \frac{2 b}{3})^{2}

\frac{3 ( y + 2 )}{2}

(f \circ g) (x - 5)

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