What is expand x^2(1+sqrt(x)) ?

The solution to expand x^2(1+sqrt(x)) is x^2+x^2sqrt(x)

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expand x^2(1+sqrt(x))

expand

x^{2} (1 + x)

x^{2} + x^{2} x

Solution steps

x^{2} (1 + x)

Apply the distributive law:

a (b + c) = ab + a c

x^{2} (1 + x) = x^{2} \cdot 1 + x^{2} x

= x^{2} \cdot 1 + x^{2} x

Apply rule:

a \cdot 1 = a

x^{2} \cdot 1 = x^{2}

= x^{2} + x^{2} x

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What is expand x^2(1+sqrt(x)) ?
The solution to expand x^2(1+sqrt(x)) is x^2+x^2sqrt(x)