Which expression is equivalent to x3(2+y5)

Question

?(1 point)
Responses

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

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

Answer 1

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

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

This simplifies to:

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

So the equivalent expression is:

2x³ + x³y⁵

This matches the response: 2 x cubed plus x cubed y superscript 5 baseline.