Which of the following is the complete factorization of 25a 2-100

25 (a-2) (a+2)

Step-by-step explanation:

25a^2 - 100

We can factor out 25

25 (a^2 - 4)

a^2 - 4 is the difference of squares a^2-b^2 = (a-b) (a+b)

where a = a and b=2

a^2 - 4 = (a-2) (a+2)

25a^2 - 100 = 25 (a-2) (a+2)