en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

expand

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

Solution

2 x^{3} - 2 x^{2} + \frac{x}{2}

Solution steps

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

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

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

Expand

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

= \frac{4 x ^{3} - 4 x ^{2} + x}{2}

Apply the fraction rule:

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

\frac{4 x ^{3} - 4 x ^{2} + x}{2} = \frac{4 x ^{3}}{2} - \frac{4 x ^{2}}{2} + \frac{x}{2}

= \frac{4 x ^{3}}{2} - \frac{4 x ^{2}}{2} + \frac{x}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 x^{3} - 2 x^{2} + \frac{x}{2}

Popular Examples

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

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

expand log_{x}(\sqrt[3]{y})expand

expand (-3,-1)y(5,2)expand

(- 3, - 1) y (5, 2)

expand (w-1/3)^4 expand

(w - \frac{1}{3})^{4}

expand p^n(1-p)^{n(x-1)}expand

p^{n} (1 - p)^{n (x - 1)}

Frequently Asked Questions (FAQ)

What is expand (x(2x-1)^2)/2 ?
The solution to expand (x(2x-1)^2)/2 is 2x^3-2x^2+x/2