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

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

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{3}{3} = 1

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

Rewrite in standard form

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

\frac{1}{( x ^{2} - 10 x + 35 ) ^{3}}

\frac{1}{( x + 100 ) ( x + 200 )}

\frac{a}{( s + a ) ( s + b )}

\frac{x + 2}{( x + 5 ) ( x - 1 )}

\frac{16000 - 3 s}{8 s ( 4000 + 3 s )}

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