Which expression is equivalent to x3(2+y5) ?(1 point) Responses 2x3+y5 2 x cubed plus y superscript 5 baseline x3+x3+xy+xy+xy x cubed plus x cubed plus x y plus x y plus x y 2x3+x3y5 2 x cubed plus x cubed y superscript 5 baseline x3+2+y5

Answer 1

To determine which expression is equivalent to \( x^3(2 + y^5) \), we can distribute \( x^3 \) into the parentheses:

\[ x^3(2 + y^5) = x^3 \cdot 2 + x^3 \cdot y^5 = 2x^3 + x^3y^5. \]

Now, let's review the provided responses:

1. \( 2x^3 + y^5 \)
2. \( x^3 + x^3 + xy + xy + xy \)
3. \( 2x^3 + x^3y^5 \)
4. \( x^3 + 2 + y^5 \)

The correct expression that matches our simplified result \( 2x^3 + x^3y^5 \) is option 3:

3) \( 2x^3 + x^3y^5 \).

This is the equivalent expression.