Question

What is the factorization of g3 – 125? (g– 5)(g2 5g 10) (g – 25)(g2 25g 625) (g – 5)(g2 5g 25) (g – 25)(g2 5g 125)?

Answer 1

For the answer to the question above asking What is the factorization of g3 – 125?
The first term is,  g2  its coefficient is  1.
The middle term is,  +5g  its coefficient is  5 .
The last term, "the constant", is  +25 

Multiply the coefficient of the first term by the constant   1 • 25 = 25 
Find two factors of  25  whose sum equals the coefficient of the middle term, which is   5. Since there are no factors.
The answer will be,

(g - 5) • (g2 + 5g + 25)

Answer 2

The answer is C. (g – 5)(g2 + 5g + 25)