What is expand ((-x+y)^2)/6 ?

The solution to expand ((-x+y)^2)/6 is (x^2)/6-(xy)/3+(y^2)/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((-x+y)^2)/6

expand

\frac{( - x + y ) ^{2}}{6}

\frac{x ^{2}}{6} - \frac{x y}{3} + \frac{y ^{2}}{6}

Solution steps

\frac{( - x + y ) ^{2}}{6}

(- x + y)^{2} = x^{2} - 2 x y + y^{2}

= \frac{x ^{2} - 2 x y + y ^{2}}{6}

Apply the fraction rule:

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

\frac{x ^{2} - 2 x y + y ^{2}}{6} = \frac{x ^{2}}{6} - \frac{2 x y}{6} + \frac{y ^{2}}{6}

= \frac{x ^{2}}{6} - \frac{2 x y}{6} + \frac{y ^{2}}{6}

Cancel

\frac{2 x y}{6} : \frac{x y}{3}

= \frac{x ^{2}}{6} - \frac{x y}{3} + \frac{y ^{2}}{6}

\frac{x - 6}{x ( x - 3 ) ( x + 1 )}

L {cos (4 t)} (s + 2)

e^{2 (x + 5)}

\frac{1}{( ( 1 - x ) ( B - x ) ( D - x ) )}

(x - π)^{9}

What is expand ((-x+y)^2)/6 ?
The solution to expand ((-x+y)^2)/6 is (x^2)/6-(xy)/3+(y^2)/6