Question

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

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

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

x3+x3+xy+xy+xy
x cubed plus x cubed plus x y plus x y plus x y

2x3+y5

Answer 1

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

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

Now, from the given responses:

1. \( 2x^3 + x^3y^5 \)
2. \( x^3 + 2 + y^5 \)
3. \( x^3 + x^3 + xy + xy + xy \)
4. \( 2x^3 + y^5 \)

The correct equivalent expression is:

**\( 2x^3 + x^3y^5 \)**