Question

What is the missing term in the factorization?

18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10

Answer 1

2 ( 3m -10) (3m+10)

Explanation:

18m^2-200

Factor out 2

2 ( 9m^2 -100)

We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)

2 ( ( 3m)^2 - 10^2)

2 ( 3m -10) (3m+10)