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

Question

Responses

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
x cubed plus x cubed plus x y plus x y plus x y

x3+2+y5

Answer 1

To simplify the expression \( x^3(2 + y^5) \), we apply the distributive property:

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

So, the expression \( x^3(2 + y^5) \) is equivalent to \( 2x^3 + x^3y^5 \).

Therefore, the correct response is:

2x³ + x³y⁵