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The expression \( x^3(2+y^5) \) can be expanded using the distributive property:
1. Distributing \( x^3 \) across \( 2 \):
\[
x^3 \cdot 2 = 2x^3
\]
2. Distributing \( x^3 \) across \( y^5 \):
\[
x^3 \cdot y^5 = x^3y^5
\]
Now, putting it all together, you get:
\[
x^3(2+y^5) = 2x^3 + x^3y^5
\]
Looking at the response options provided, the equivalent expression among the options is:
**2x³ + x³y⁵** (which corresponds to the second option).