How do you factor #8k^3 + 1#?
This is the factorization of perfect cubes.
The pattern for factoring perfect cubes is
The pattern is dependent upon the sign between the cubes.
a = the cubic factor of the first term
b = the cubic root of the second term
(first term, second term) (first term squared, first term x second term, second term squared.
The pattern of the pattern of the signs follows the SOAP rule
S - Same Sign
O - Opposite Sign
AP - Always Positive
(Same Sign) (Opposite Sign, Always Positive)
The cubic factor of
The cubic factor of 1 is 1