What is expand x^{1/p}+y(x^{1/p}+8y) ?

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

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expand x^{1/p}+y(x^{1/p}+8y)

expand

x^{\frac{1}{p}} + y (x^{\frac{1}{p}} + 8 y)

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

Solution steps

x^{\frac{1}{p}} + y (x^{\frac{1}{p}} + 8 y)

Apply the distributive law:

a (b + c) = ab + a c

y (x^{\frac{1}{p}} + 8 y) = y x^{\frac{1}{p}} + y \cdot 8 y

= x^{\frac{1}{p}} + y x^{\frac{1}{p}} + y \cdot 8 y

Simplify

y \cdot 8 y : 8 y^{2}

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

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