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

Question

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

2x3+y5

Answer 1

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

1. \( x^3 \cdot 2 = 2x^3 \)
2. \( x^3 \cdot y^5 = x^3y^5 \)

So, the simplified expression becomes:

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

From the provided options, the equivalent expression is:

2x3+x3y5 (2 x cubed plus x cubed y to the power of 5).