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

simplify

(\frac{1}{3} x - \frac{2}{3} 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}

13 x - 4 - 2 x - 3 + 7

(8.3 x - 2.9) - (9.6 x - 4.8)

(\frac{x ^{- 3}}{y ^{3}})^{- 5}

2 m^{3} - 54 x^{3}

(x - 1)^{3} - (x - 1)^{3}