en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

expand

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

Solution

4 x^{2} - 2 x + \frac{1}{4}

Solution steps

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

(4 x - 1)^{2} = 16 x^{2} - 8 x + 1

= \frac{16 x ^{2} - 8 x + 1}{4}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{16 x ^{2} - 8 x + 1}{4} = \frac{16 x ^{2}}{4} - \frac{8 x}{4} + \frac{1}{4}

= \frac{16 x ^{2}}{4} - \frac{8 x}{4} + \frac{1}{4}

Divide the numbers:

\frac{16}{4} = 4

= 4 x^{2} - \frac{8 x}{4} + \frac{1}{4}

Divide the numbers:

\frac{8}{4} = 2

= 4 x^{2} - 2 x + \frac{1}{4}

Popular Examples

expand y*(sqrt(b^2-y^2))expand

y \cdot (b^{2} - y^{2})

expand (2x^2-13x+20)/((x-1)^2)expand

\frac{2 x ^{2} - 13 x + 20}{( x - 1 ) ^{2}}

expand pi(2/(2pi))^2 expand

π (\frac{2}{2 π})^{2}

expand (sec(x)-1)^3 expand

(sec (x) - 1)^{3}

expand (2xy-sin^2(x))dx+(x^2+2y)dy expand

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

Frequently Asked Questions (FAQ)

What is expand ((4x-1)^2)/4 ?
The solution to expand ((4x-1)^2)/4 is 4x^2-2x+1/4