Which expression is equivalent to x3(2+y5)

Question

?(1 point)
Responses

x3+x3+xy+xy+xy
x cubed plus x cubed plus x y plus x y plus x y

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

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

2x3+x3y5

Answer 1

The expression \( x^3(2+y^5) \) can be distributed as follows:

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

However, since none of the responses provided correctly match the distribution, we should examine the closest option.

The response "2x3 + x3y5" would be equivalent to the expression, taking into account \( x^3(2 + y^5) \), since \( 2x^3 + x^3y^5 \) is the expanded version of the original expression.

Thus, the most accurate response from the list is:

2x3 + x3y5