What is (1/3*x-2/3*y)^3 ?

The solution to (1/3*x-2/3*y)^3 is ((x-2y)^3)/(27)

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simplify (1/3x-2/3y)^3

simplify

(\frac{1}{3} \cdot x - \frac{2}{3} \cdot y)^{3}

\frac{( x - 2 y ) ^{3}}{27}

Solution steps

(\frac{1}{3} x - \frac{2}{3} y)^{3}

\frac{1}{3} x = \frac{x}{3}

\frac{2}{3} y = \frac{2 y}{3}

= (\frac{x}{3} - \frac{2 y}{3})^{3}

Combine the fractions

\frac{x}{3} - \frac{2 y}{3} : \frac{x - 2 y}{3}

= (\frac{x - 2 y}{3})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x - 2 y ) ^{3}}{3 ^{3}}

3^{3} = 27

= \frac{( x - 2 y ) ^{3}}{27}

(a + b)^{15}

1331 x^{3} - 726 x^{2} + 132 x - 8

81 + 3^{w} - 6 \cdot 3^{w}

(\frac{1}{2} \cdot x + \frac{1}{3} \cdot y)^{2}

(- 2 x + 2) 2 - 3 (2 x - 2) (x + 3)