What is expand x^{2/5}(y^{1/2}+2x^{6/5}) ?

The solution to expand x^{2/5}(y^{1/2}+2x^{6/5}) is x^{2/5}y^{1/2}+2x^{8/5}

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expand x^{2/5}(y^{1/2}+2x^{6/5})

expand

x^{\frac{2}{5}} (y^{\frac{1}{2}} + 2 x^{\frac{6}{5}})

x^{\frac{2}{5}} y^{\frac{1}{2}} + 2 x^{\frac{8}{5}}

Solution steps

x^{\frac{2}{5}} (y^{\frac{1}{2}} + 2 x^{\frac{6}{5}})

Apply the distributive law:

a (b + c) = ab + a c

x^{\frac{2}{5}} (y^{\frac{1}{2}} + 2 x^{\frac{6}{5}}) = x^{\frac{2}{5}} y^{\frac{1}{2}} + x^{\frac{2}{5}} \cdot 2 x^{\frac{6}{5}}

= x^{\frac{2}{5}} y^{\frac{1}{2}} + x^{\frac{2}{5}} \cdot 2 x^{\frac{6}{5}}

Simplify

x^{\frac{2}{5}} \cdot 2 x^{\frac{6}{5}} : 2 x^{\frac{8}{5}}

= x^{\frac{2}{5}} y^{\frac{1}{2}} + 2 x^{\frac{8}{5}}

\frac{1}{( 1 + t ^{2} ) ( 1 + r ^{2} )}

2 (sin^{4} (θ) + cos^{4} (θ)) + 4 sin^{2} (θ) cos^{2} (θ)

(a + x) a - x

(sin (x) - cos (x)) sin (x)

What is expand x^{2/5}(y^{1/2}+2x^{6/5}) ?
The solution to expand x^{2/5}(y^{1/2}+2x^{6/5}) is x^{2/5}y^{1/2}+2x^{8/5}