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

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

Answer 1

The expression \( x^3(2+y^5) \) can be expanded by distributing \( x^3 \) to both terms inside the parentheses.

Here’s how you do the distribution:

1. Multiply \( x^3 \) by 2: \( x^3 \times 2 = 2x^3 \)
2. Multiply \( x^3 \) by \( y^5 \): \( x^3 \times y^5 = x^3y^5 \)

So the distributed expression becomes: \[ 2x^3 + x^3y^5 \]

Among the given options, this matches the expression \( 2x^3 + x^3y^5 \).

Thus, the correct answer is: 2x3+x3y5