Question

Factor completely.

Answer 1

Answer:

(m - n) (m + n) (m^2 + n^2)

Step-by-step explanation:

Factor the following:

m^4 - n^4

m^4 - n^4 = (m^2)^2 - (n^2)^2:

(m^2)^2 - (n^2)^2

Factor the difference of two squares. (m^2)^2 - (n^2)^2 = (m^2 - n^2) (m^2 + n^2):

(m^2 - n^2) (m^2 + n^2)

Factor the difference of two squares. m^2 - n^2 = (m - n) (m + n):

Answer:  (m - n) (m + n) (m^2 + n^2)