Question

64x^3+1 factories it ​

Answer 1

(a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0+b3 =

           a3+b3

Check :  64  is the cube of  4  

Check :  1  is the cube of   1  

Check :  x3 is the cube of   x1

Factorization is :

            (4x - 1)  •  (16x2 + 4x + 1)