Use the following factorization formulas involving cubes to factor each expression in Problems 51-58.

Factorizations with Cubes

Perfect cube

a3 + 3a2b + 3ab2 + b3 = (a + b)3

Perfect cube

a3 - 3a2b + 3ab2 - b3 = (a - b)3

Difference of two cubes

a3 - b3 = (a - b) (a2 + ab + b2)

Sum of two cubes

a3 + b3 = (a + b) (a2 - ab + b2)

1. x3 + 3x2 + 3x + 1

2. x3 + 6x2 + 12x + 8

3. x3 - 12x2 + 48x - 64

4. y3 - 9y2 + 27y - 27