What is expand ((y+1)^3)/3 ?

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

Popular >

expand ((y+1)^3)/3

expand

\frac{( y + 1 ) ^{3}}{3}

\frac{y ^{3}}{3} + y^{2} + y + \frac{1}{3}

Solution steps

\frac{( y + 1 ) ^{3}}{3}

(y + 1)^{3} = y^{3} + 3 y^{2} + 3 y + 1

= \frac{y ^{3} + 3 y ^{2} + 3 y + 1}{3}

Apply the fraction rule:

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

\frac{y ^{3} + 3 y ^{2} + 3 y + 1}{3} = \frac{y ^{3}}{3} + \frac{3 y ^{2}}{3} + \frac{3 y}{3} + \frac{1}{3}

= \frac{y ^{3}}{3} + \frac{3 y ^{2}}{3} + \frac{3 y}{3} + \frac{1}{3}

Divide the numbers:

\frac{3}{3} = 1

= \frac{y ^{3}}{3} + y^{2} + y + \frac{1}{3}

\frac{4 ( e - 1 )}{7}

2 ((x + 2)^{2} = - 24 + x (3 (x - 3) - 2 (x - 1)))

(y = x + 4,) (, y = - 2 x - 2)

π (ln (108) - 2)

(- e^{x} + e^{- x}) (π e^{x - 1} - e^{x - 2} - e^{- x})

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