Which expression is equivalent to x3(2+y5)

Question

?(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 \( x^3 \) across the terms inside the parentheses:

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

This results in:

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

Among the provided options, the closest equivalent expression is:

2x³ + y⁵

None of the other options match \( 2x^3 + x^3y^5 \) correctly, as they either misrepresent the distribution or combine terms incorrectly.

The correct equivalent expression from the given responses is:

2x3 + y5

(This indicates that \( 2x^3 + y^5 \) is the value you needed).