Question

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

x3+x3+xy+xy+xy
x cubed plus x cubed plus x y plus x y plus x y

x3+2+y5
x cubed plus 2 plus y superscript 5 baseline

2x3+y5
2 x cubed plus y superscript 5 baseline

2x3+x3y5

Answer 1

To simplify the expression \( x^3(2 + y^5) \), we can distribute \( x^3 \) into the parentheses:

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

This results in:

\[
2x^3 + x^3y^5
\]

Based on the provided response options, the equivalent expression is:

**2x3+x3y5**

So the correct answer is:

**2x3+x3y5**