What is expand ((1-x)^2)/3 ?

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

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

expand

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

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

Solution steps

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

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

= \frac{1 - 2 x + x ^{2}}{3}

Apply the fraction rule:

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

\frac{1 - 2 x + x ^{2}}{3} = \frac{1}{3} - \frac{2 x}{3} + \frac{x ^{2}}{3}

= \frac{1}{3} - \frac{2 x}{3} + \frac{x ^{2}}{3}

Rewrite in standard form

= \frac{x ^{2}}{3} - \frac{2 x}{3} + \frac{1}{3}

\frac{5}{( s ^{2} + 25 ) ( s + 1 ) ( s + 2 )}

\frac{d}{d t} ((x) (x + 3 y))

5 x \cdot 6 y \cdot 0.5

\frac{K}{s ( s + 7 ) ( s + 1 )}

\frac{( 2 + j ^{3} ) ( 5 - j )}{( 3 - j ^{2} ) ^{2}}

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