en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

(2 y - 1)^{2} = 4 y^{2} - 4 y + 1

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{4} = 1

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

Popular Examples

expand (sin(x)+2)^3 expand

(sin (x) + 2)^{3}

simplify (x+iy)^3+2i(x+iy)^2+5(x+iy)+2 simplify

(x + i y)^{3} + 2 i (x + i y)^{2} + 5 (x + i y) + 2

simplify 2(sqrt(x)+2)simplify

2 (x + 2)

expand y(x^2+y^2-1)dx+x(x^2+y^2+1)dy expand

y (x^{2} + y^{2} - 1) d x + x (x^{2} + y^{2} + 1) d y

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

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

Frequently Asked Questions (FAQ)

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