What is expand 2m^{1/3}(3m^{2/3}-m^6) ?

The solution to expand 2m^{1/3}(3m^{2/3}-m^6) is 6m-2m^{19/3}

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expand 2m^{1/3}(3m^{2/3}-m^6)

expand

2 m^{\frac{1}{3}} (3 m^{\frac{2}{3}} - m^{6})

6 m - 2 m^{\frac{19}{3}}

Solution steps

2 m^{\frac{1}{3}} (3 m^{\frac{2}{3}} - m^{6})

Apply the distributive law:

a (b - c) = ab - a c

2 m^{\frac{1}{3}} (3 m^{\frac{2}{3}} - m^{6}) = 2 m^{\frac{1}{3}} \cdot 3 m^{\frac{2}{3}} - 2 m^{\frac{1}{3}} m^{6}

= 2 m^{\frac{1}{3}} \cdot 3 m^{\frac{2}{3}} - 2 m^{\frac{1}{3}} m^{6}

2 m^{\frac{1}{3}} \cdot 3 m^{\frac{2}{3}} = 6 m

2 m^{\frac{1}{3}} m^{6} = 2 m^{\frac{19}{3}}

= 6 m - 2 m^{\frac{19}{3}}

(3 - x) (2 - x)

\frac{( 6 - x ) ^{2}}{2}

\frac{1}{4 ( - 16 x + 8 )}

(x - 1) (x + 1)

(x^{2} - 4 x + 53) (x - \frac{3}{4})

What is expand 2m^{1/3}(3m^{2/3}-m^6) ?
The solution to expand 2m^{1/3}(3m^{2/3}-m^6) is 6m-2m^{19/3}