Question

Which of the following is the complete factorization of 25a2 - 100?

5(5a - 2)(5a + 2)
(5a - 2)(5a + 2)
25(a - 2)(a + 2)

Answer 1

answer 25(a-2)(a+2)

Explanation:

well first im not a teacher so you do math then more math

Answer 2

25(a - 2)(a + 2)

Explanation:

To factor, use the GCF to simplify the expression. The greatest common factor is the greatest number which multiplies into both terms 25 and 100. 25 is that number. So we write:

`25a^2-100=25(a^2-4)`

This expression has the the form of a difference of squares
`a^2-b^2` where 4 is b squared. As such, it will factor into the form (a-b)(a+b).

So we write:

`25(a^2-4)=25(a-2)(a+2)`