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

Responses

2x3+x3y5
2 x cubed plus x cubed y superscript 5 baseline

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

x3+2+y5

ABC OR D

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To simplify the expression \( x^3(2 + y^5) \), we can use the distributive property:

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

Now, looking at the responses:

1. **2x3+x3y5** corresponds to \( 2x^3 + x^3y^5 \).
2. **2x3+y5** corresponds to \( 2x^3 + y^5 \).
3. **x3+x3+xy+xy+xy** does not correspond to the original expression.
4. **x3+2+y5** does not correspond to the original expression.

The expression that is equivalent to \( x^3(2 + y^5) \) is

**Response 1: 2x3 + x3y5**.