129k views
1 vote
TIME REMAINING

51:31
What are the factors of x2 – 100?

(x – 50)(x + 50)
(x – 10)(x + 10)
(x – 25)(x + 4)
(x – 5)(x + 20)

User Midimatt
by
3.3k points

1 Answer

5 votes

Answer:

(b) (x -10)(x +10)

Explanation:

The factorization of the difference of squares is a special form:

a² -b² = (a -b)(a +b)

Application

Your expression is recognizable as the difference of squares:

x² -100 = x -10²

Using the above form, the factorization is ...

= (x -10)(x +10) . . . . . . . . matches the second choice

User Nisanth Sojan
by
3.2k points