Which expression is equivalent to x3(2+y5) ?(1 point)

To find an expression equivalent to \( x^3(2 + y^5) \), we can use the distributive property to simplify it.

Using the distributive property:
\[
x^3(2 + y^5) = x^3 \cdot 2 + x^3 \cdot y^5
\]

This simplifies to:
\[
2x^3 + x^3y^5
\]

Now, let's compare this with the given responses:

1. **\( 2x^3 + y^5 \)**: Not equivalent, as it misses the \( x^3y^5 \) term.
2. **\( 2x^3 + x^3y^5 \)**: This is equivalent, as this matches our simplified version.
3. **\( x^3 + x^3 + xy + xy + xy \)**: Not equivalent; this is a different expression.
4. **\( x^3 + 2 + y^5 \)**: Not equivalent, it's simply combining terms differently without maintaining the product.

The correct response is:
**\( 2x^3 + x^3y^5 \)**.