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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (ln(t)+1)^3

expand

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

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

Solution steps

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

Apply Perfect Cube Formula:

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

a = ln (t), b = 1

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

Simplify

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

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

\frac{x ^{2} - 7}{( x + 4 ) ( x - 7 )}

(x \circ x + 8) (x)

(x^{2} sin (x) + 4 y) d y

(4, - 1, 0) (8 x - 4 y + z + 9 = 0)

\frac{3 Q ( 80000 - Q )}{2000}

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