Which expression is equivalent to x3(2+y5)

Question

?(1 point)
Responses

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

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

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

x3+x3+xy+xy+xy

Answer 1

To simplify the expression \( x^3(2 + y^5) \), we apply the distributive property, which involves multiplying \( x^3 \) by each term inside the parentheses:

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

This gives us:

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

Now we compare this with the provided responses to find an equivalent expression. The correct choice among the given options is:

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

So the answer is:

2x3 + x3y5 (2 x cubed plus x cubed y to the 5th)