Question

Factor the Expression
8 - m^6

Answer 1

Key: ^ denoting 'to the power of'

8=2^3
m^6=(m^2)^3
let (m^2) =p
so, (m^6) = p^3
So,
8-m^6
=2^3 - p^3
Use the formula: (a^3 - b^3)= (a-b)(a^2 +ab +b^2)
So we can further factorize the initial expression