Factor completely 2x2 − 50.
a) prime
b) 2(x − 5)(x + 5)
c) 2(x2 − 25)
d) 2(x + 5)(x + 5)

b) 2(x - 5)(x + 5)

Step-by-step explanation:

2x² - 50

2(x² - 25)

(x² - 25) is a difference of squares and it equals (x - 5)(x + 5)

So the answer is;

2(x - 5)(x + 5)

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted