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

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

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{3}{3} = 1

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

5 (- 3)

(x^{2} - 2 x) (x^{2} + 2 x)^{'}

\frac{x ( 6 x - 2 )}{x + 1}

(x^{3} - v^{3} x^{3}) d x

- π (x - 0.5)

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