The discussion revolves around factoring the expression s^4 - 625, which is identified as a difference of two squares. The original poster seeks clarification on the limitations of factoring, particularly regarding the term s^2 + 25.
The discussion is active, with participants providing insights into the limitations of factoring sums of squares. Some guidance has been offered regarding the nature of the expression and its factorization under real numbers versus complex numbers.
There is an emphasis on the assumption that variables represent whole numbers, which influences the discussion about the factorization of sums of squares.
Peter Tran said:Homework Statement
Factor the following difference of two squares. Assume that variables represent whole numbers.
s^4 - 625
Homework Equations
(A)^2 - (B)^2
The Attempt at a Solution
s^4-625
(s^2)^2 - 25^2
(s^2+25)(s^2-25)
(s^2+25)(s+5)(s+5) - Correct
The "program" wants me to stop there, but why? Couldn't I just go ahead and continue factoring the (s^2+25) also?