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

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

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

2x3+y5

Answer 1

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

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

Therefore, the equivalent expression is:

2x^3 + x^3y^5

This corresponds to the response:

2x3 + x3y5

So, the correct answer is:

2 x cubed plus x cubed y superscript 5 baseline.