(X+1)(x-1)(x-3) factor

To factor the expression (X+1)(x-1)(x-3), you can use the distributive property and combine like terms if possible. Here's the step-by-step process:

1. Distribute (X+1) to (x-1)(x-3):
(X+1)*(x-1)*(x-3)
= (X(x-1)*(x-3)) + (1*(x-1)*(x-3))
= (X^2 - X - 3X + 3) + (x^2 - x - 3x + 3)

2. Combine like terms:
= X^2 - X - 3X + 3 + x^2 - x - 3x + 3
= X^2 + x^2 - X - 3X - x - 3x + 3 + 3
= X^2 + x^2 - 4X - 4x + 6

So, the fully factored expression is X^2 + x^2 - 4X - 4x + 6.