Can you completely factor x32 - y32?

Answer 1

0

Answer 2

x32-y32 factored is:

(x16+y16)*(x16-y16) which can be factored to:

(x16+y16)*(x8+y8)*(x8-y8) which can be factored to:

(x16+y16)*(x8+y8)*(x4+y4)*(x4-y4) which can be factored to:

(x16+y16)*(x8+y8)*(x4+y4)*(x2+y2)*(x2-y2) which can be factored to:

(x16+y16)*(x8+y8)*(x4+y4)*(x2+y2)*(x+y)*(x-y); completed.

Answer 3

(x - y)(x + y)(x^2 + y^2)(x^4 + y^4)(x^8 + y^8)(x^16 + y^16)

Answer 4

Oh, dude, like, totally! So, x^32 - y^32 can be factored as (x^16 + y^16)(x^8 + y^8)(x^4 + y^4)(x^2 + y^2)(x + y)(x - y). It's like a factoring party up in here!