What is expand ((y-z)^3)/3 ?

The solution to expand ((y-z)^3)/3 is (y^3)/3-y^2z+yz^2-(z^3)/3

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expand ((y-z)^3)/3

expand

\frac{( y - z ) ^{3}}{3}

\frac{y ^{3}}{3} - y^{2} z + y z^{2} - \frac{z ^{3}}{3}

Solution steps

\frac{( y - z ) ^{3}}{3}

(y - z)^{3} = y^{3} - 3 y^{2} z + 3 y z^{2} - z^{3}

= \frac{y ^{3} - 3 y ^{2} z + 3 y z ^{2} - z ^{3}}{3}

Apply the fraction rule:

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

\frac{y ^{3} - 3 y ^{2} z + 3 y z ^{2} - z ^{3}}{3} = \frac{y ^{3}}{3} - \frac{3 y ^{2} z}{3} + \frac{3 y z ^{2}}{3} - \frac{z ^{3}}{3}

= \frac{y ^{3}}{3} - \frac{3 y ^{2} z}{3} + \frac{3 y z ^{2}}{3} - \frac{z ^{3}}{3}

Divide the numbers:

\frac{3}{3} = 1

= \frac{y ^{3}}{3} - y^{2} z + y z^{2} - \frac{z ^{3}}{3}

2 (- 3 x + 2 y = 8)

- 11 (a + 12 = - 319)

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

d er (4 \cdot sin (x) - e, x)

(6 m - 4 n = 1, 2) (3 m + n = 9)

What is expand ((y-z)^3)/3 ?
The solution to expand ((y-z)^3)/3 is (y^3)/3-y^2z+yz^2-(z^3)/3