Which expression is equivalent to x^3(2+y^5)?(1 point)

Responses

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

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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The expression \( x^3(2+y^5) \) can be expanded using the distributive property:

1. Distributing \( x^3 \) across \( 2 \):
\[
x^3 \cdot 2 = 2x^3
\]

2. Distributing \( x^3 \) across \( y^5 \):
\[
x^3 \cdot y^5 = x^3y^5
\]

Now, putting it all together, you get:
\[
x^3(2+y^5) = 2x^3 + x^3y^5
\]

Looking at the response options provided, the equivalent expression among the options is:
**2x³ + x³y⁵** (which corresponds to the second option).