(x + 3y)(x2 - 3xy + 9y2)
x3+27y3 = (x+3y) · (x2-3xy+9y2)
x3 + 8 = x3 + 23 = (x + 2)(x2 + 2x + 22) = (x + 2)(x2 + 2x + 4)
(x - y)(x^2 + xy + y^2
(x + 2)(x ^2 + 1)
x3-343
x(x+3)(x+5)
(x-2)(x+1)(x+5)
(x + 1)(x - 2)(x + 5)
x3 + 6x2 - 4x - 24 = (x + 6)(x2 - 4) = (x + 6)(x + 2)(x - 2)
Since x3 is a factor of x5, it is automatically the GCF.
Greatest common factor of x4 and x3 is x3.
The greatest common factor of 1-x3 is 1, dummy.