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

Question

Responses

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

2x3+y5

Answer 1

To simplify the expression \( x^3(2 + y^5) \), we can distribute \( x^3 \) across the terms inside the parentheses.

1. Distributing \( x^3 \) gives: \[ x^3 \cdot 2 + x^3 \cdot y^5 \]

2. This results in: \[ 2x^3 + x^3y^5 \]

Thus, the equivalent expression is \( 2x^3 + x^3y^5 \).

So, the correct response is: 2 x cubed plus x cubed y superscript 5.