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

Responses

2x3+y5
2 x cubed plus 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+x3y5
2 x cubed plus x cubed y superscript 5 baseline

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

To determine which expression is equivalent to \( x^3(2+y^5) \), we can distribute \( x^3 \) across the terms inside the parentheses.

Starting with:

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

We distribute \( x^3 \):

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

This simplifies to:

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

Now, let's compare this to the provided responses:

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

The expression \( 2x^3 + x^3y^5 \) matches our simplified expression perfectly.

Therefore, the correct answer is:

**2x^3 + x^3y^5**