en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (ln(x)-2)^2

Solution

expand

(ln (x) - 2)^{2}

Solution

ln^{2} (x) - 4 ln (x) + 4

Solution steps

(ln (x) - 2)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = ln (x), b = 2

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

Simplify

ln^{2} (x) - 2 ln (x) \cdot 2 + 2^{2} : ln^{2} (x) - 4 ln (x) + 4

= ln^{2} (x) - 4 ln (x) + 4

Popular Examples

expand (sin(x)(1-cos(x)))/(x^2)expand

\frac{sin ( x ) ( 1 - cos ( x ) )}{x ^{2}}

expand (-4x^5)^2 expand

(- 4 x^{5})^{2}

expand sin(k(t-u))expand

sin (k (t - u))

expand ((2x^3-1)(4-3x))/((2x^2+1)^2)expand

\frac{( 2 x ^{3} - 1 ) ( 4 - 3 x )}{( 2 x ^{2} + 1 ) ^{2}}

expand (40-3x)/(x^2(x^2-9x+20))expand

\frac{40 - 3 x}{x ^{2} ( x ^{2} - 9 x + 20 )}

Frequently Asked Questions (FAQ)

What is expand (ln(x)-2)^2 ?
The solution to expand (ln(x)-2)^2 is ln^2(x)-4ln(x)+4