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

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

x3+2+y5

Answer 1

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

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

So, the equivalent expression is:

2x³ + x³y⁵.

Looking at the provided options, the correct answer is:

2x³ + x³y⁵ (which is listed as "2 x cubed plus x cubed y superscript 5 baseline").