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:

$$x^3(2+y^5)=x^3\cdot 2+x^3\cdot y^5=2x^3+x^3{y}^5.$$

Now, let's review the provided responses:

1. $2x^3+y^5$
2. $x^3+x^3+xy+xy+xy$
3. $2x^3+x^3{y}^5$
4. $x^3+2+y^5$

The correct expression that matches our simplified result $2x^3+x^3{y}^5$ is option 3:

3) $2x^3+x^3{y}^5$.

This is the equivalent expression.