Which expression is equivalent to x3(2+y5) ?(1 point) Responses 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 2 x cubed plus y superscript 5 baseline x3+x3+xy+xy+xy

1 answer

To find an expression equivalent to \( x^3(2 + y^5) \), we can distribute \( x^3 \) to the terms inside the parentheses.

So, we apply the distributive property:

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

This leads us to the final expression:

Option: \( 2x^3 + x^3y^5 \)

So the correct expression from your responses is:

2x³ + x³y⁵.