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

2x^3+x^3y^5

x^3+2+y^5

x^3+x^3+xy+xy+xy

2x^3+y^5

The expression that is equivalent to x^3(2+y^5) is 2x^3+y^5.

Which of the following responses demonstrates that polynomials form a closed system under multiplication?

(√x)(x+1)

x^2+2x+1

(x^2/2)(1/x)

(x^2+1)(x-1/2)

The response that demonstrates that polynomials form a closed system under multiplication is (x^2+1)(x-1/2). This is because both factors of the expression are polynomials, and when multiplied, the result is still a polynomial.

The expression that is equivalent to x^3(2+y^5) is 2x^3+x^3y^5.