What is expand y^{1/3}(y^{1/3}-y^{2/5}) ?

The solution to expand y^{1/3}(y^{1/3}-y^{2/5}) is y^{2/3}-y^{11/15}

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expand y^{1/3}(y^{1/3}-y^{2/5})

expand

y^{\frac{1}{3}} (y^{\frac{1}{3}} - y^{\frac{2}{5}})

y^{\frac{2}{3}} - y^{\frac{11}{15}}

Solution steps

y^{\frac{1}{3}} (y^{\frac{1}{3}} - y^{\frac{2}{5}})

Apply the distributive law:

a (b - c) = ab - a c

y^{\frac{1}{3}} (y^{\frac{1}{3}} - y^{\frac{2}{5}}) = y^{\frac{1}{3}} y^{\frac{1}{3}} - y^{\frac{1}{3}} y^{\frac{2}{5}}

= y^{\frac{1}{3}} y^{\frac{1}{3}} - y^{\frac{1}{3}} y^{\frac{2}{5}}

y^{\frac{1}{3}} y^{\frac{1}{3}} = y^{\frac{2}{3}}

y^{\frac{1}{3}} y^{\frac{2}{5}} = y^{\frac{11}{15}}

= y^{\frac{2}{3}} - y^{\frac{11}{15}}

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What is expand y^{1/3}(y^{1/3}-y^{2/5}) ?
The solution to expand y^{1/3}(y^{1/3}-y^{2/5}) is y^{2/3}-y^{11/15}