Which expression correctly shows 2x^5y-2x^2y factored completely over the integers?

A.-2x^2y (x+1) (x^2-x+1)

B. 2xy (x-1) (x^2+x+1)

C. 2x^2 (x-y) (x+y)

D. 2x^2y (x-1) (x^2+x+1)

E. 2x^2 (x-y) (x^2+xy+y^2)

Question

Mathematics

Aires

28 August, 07:17

Which expression correctly shows 2x^5y-2x^2y factored completely over the integers?

A.-2x^2y (x+1) (x^2-x+1)

B. 2xy (x-1) (x^2+x+1)

C. 2x^2 (x-y) (x+y)

D. 2x^2y (x-1) (x^2+x+1)

E. 2x^2 (x-y) (x^2+xy+y^2)

+3

Answers (1)

Know the Answer?

Haylie Conrad · Answer 1

Option D, 2x^2y (x - 1) (x^2 + x + 1)

Step-by-step explanation:

Step 1: Factor

2x^5y - 2x^2y

2x^2y (x^3 - 1)

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

Answer: Option D, 2x^2y (x - 1) (x^2 + x + 1)

Which expression correctly shows 2x^5y-2x^2y factored completely over the integers?A.-2x^2y (x+1) (x^2-x+1)B. 2xy (x-1) (x^2+x+1)C. 2x^2 (x-y) (x+y)D. 2x^2y (x-1) (x^2+x+1)E. 2x^2 (x-y) (x^2+xy+y^2)

Which expression correctly shows 2x^5y-2x^2y factored completely over the integers?

A.-2x^2y (x+1) (x^2-x+1)

B. 2xy (x-1) (x^2+x+1)

C. 2x^2 (x-y) (x+y)

D. 2x^2y (x-1) (x^2+x+1)

E. 2x^2 (x-y) (x^2+xy+y^2)