Question
Which expression is equivalent to x3(2+y5)?(1 point) Responses x3+2+y5 x cubed plus 2 plus 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 2x3+x3y5 2 x cubed plus x cubed y superscript 5 baseline
Answers
GPT-4o mini
To simplify the expression \( x^3(2 + y^5) \), we can use the distributive property.
Distributing \( x^3 \) to both terms inside the parentheses gives us:
\[
x^3 \cdot 2 + x^3 \cdot y^5 = 2x^3 + x^3y^5
\]
None of the provided options matched this expression exactly. However, the expression \( 2x^3 + x^3y^5 \) is the correct simplification of \( x^3(2 + y^5) \).
So the closest answer to our simplified expression would be \( 2x^3 + x^3y^5 \).
**Final Answer: 2x^3 + x^3y^5**.
Distributing \( x^3 \) to both terms inside the parentheses gives us:
\[
x^3 \cdot 2 + x^3 \cdot y^5 = 2x^3 + x^3y^5
\]
None of the provided options matched this expression exactly. However, the expression \( 2x^3 + x^3y^5 \) is the correct simplification of \( x^3(2 + y^5) \).
So the closest answer to our simplified expression would be \( 2x^3 + x^3y^5 \).
**Final Answer: 2x^3 + x^3y^5**.