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

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

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

expand

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

y + y^{2}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

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

= y + y^{2}

(x - 32) (x + 32)

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

B (5, - \frac{π}{3})

(2 x - \frac{1}{x})^{4}

(x + y) d x

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