What is expand ((-x+10)/3)^2 ?

The solution to expand ((-x+10)/3)^2 is (x^2)/9-(20x)/9+100/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((-x+10)/3)^2

expand

(\frac{- x + 10}{3})^{2}

\frac{x ^{2}}{9} - \frac{20 x}{9} + \frac{100}{9}

Solution steps

(\frac{- x + 10}{3})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - x + 10 ) ^{2}}{3 ^{2}}

(- x + 10)^{2} = x^{2} - 20 x + 100

= \frac{x ^{2} - 20 x + 100}{3 ^{2}}

3^{2} = 9

= \frac{x ^{2} - 20 x + 100}{9}

Apply the fraction rule:

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

\frac{x ^{2} - 20 x + 100}{9} = \frac{x ^{2}}{9} - \frac{20 x}{9} + \frac{100}{9}

= \frac{x ^{2}}{9} - \frac{20 x}{9} + \frac{100}{9}

\frac{7 s}{( s ^{2} + k ^{2} ) ( s - 1 )}

\frac{x - n p}{p ( 1 - p )}

(\frac{( z + 12 )}{2})^{3}

f (x) (x^{3} - 2) e^{- 3 x - 5}

(4 π + 2) r a d

What is expand ((-x+10)/3)^2 ?
The solution to expand ((-x+10)/3)^2 is (x^2)/9-(20x)/9+100/9