Factor by grouping
X^3+x^2-4x-4
To factor by grouping, we group the terms in pairs:
(x^3 + x^2) + (-4x - 4)
Now, let's factor out the greatest common factor from each pair:
x^2(x + 1) - 4(x + 1)
Notice that we have a common factor of (x + 1) in each term. Let's factor that out:
(x + 1)(x^2 - 4)
Now, let's simplify the second factor:
(x + 1)(x - 2)(x + 2)
Therefore, the fully factored form is (x + 1)(x - 2)(x + 2).