Question

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

Answer 1

25(a-2)(a+2)

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)