Question

Which expression correctly shows 2x³y - 2y factored completely?

O 2xy(x - 1)(x² + x + 1)
O 2y(x - 1)(x² + x + 1)
O 2(x - y) (x² + xy + y²)
O-2y(x + 1)(x² - x + 1)

Answer 1

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

Explanation:

`~~~2x^3y-2y\\\\=2y(x^3-1)\\\\=2y(x-1)(x^2+x+1)~~~~~~~~~~;[a^3-b^3 = (a-b)(a^2 +ab+b^2)]`