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

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

Popular >

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

expand

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

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

Solution steps

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

(1 - x)^{3} = 1 - 3 x + 3 x^{2} - x^{3}

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{3}{3} = 1

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

Rewrite in standard form

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

(e^{18 x} + e^{- 18 x})^{2}

5 + i (- 3 + 26)

- (e^{i x} + e^{- i x}) i (e^{i x} - e^{- i x})

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

(2 + x cos (y)) d

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