Factoring y= 2x^3 +2 ?

To factor the expression y = 2x^3 + 2, we can first factor out the common factor of 2:

y = 2(x^3 + 1)

Now, we can see that x^3 + 1 is a sum of cubes, which can be factored using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2):

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

Therefore, the factored form of y = 2x^3 + 2 is y = 2(x + 1)(x^2 - x + 1).

2x(x^2 + 1)