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To find an expression that is equivalent to \( x^3(2 + y^5) \), we can distribute \( x^3 \):
\[
x^3(2 + y^5) = x^3 \cdot 2 + x^3 \cdot y^5 = 2x^3 + x^3y^5
\]
Now, let's examine the given options:
1. \( x^3 + 2 + y^5 \)
2. \( x^3 + x^3 + xy + xy + xy \)
3. \( 2x^3 + x^3y^5 \)
4. \( 2x^3 + y^5 \)
The expression we derived, \( 2x^3 + x^3y^5 \), matches option 3.
So, the correct answer is:
**\( 2x^3 + x^3y^5 \)**.