Question

EXPERTS, ACES, GENIUSES, TRUSTED HELPERS, AND ELITE HELPERS ONLY PLEASE!!!

Please answer these CORRECTLY. Don't just say "I don't know", "look it up" or anything of the like. If you do, a moderator WILL deal with you accordingly and you will lose points.
SHOW YOUR WORK!!

Answer 1

1. The answer is A, because this a difference of squares, just multiplied by a constant.

2. The answer is B because this is also a difference of squares multiplied by a constant.

3. B, it's the only one you can do that with.

5. Again, it's B. You can multiply the two together, then redistribute the 2 and you end up with what you started with.

Answer 2

9x^2 - 25
= (3x)^2 - (5)^2
= (3x - 5)(3x + 5) [Answer A]

100y^2 - 1
= (10y)^2 - (1)^2
= (10y - 1) (10y + 1) [Answer B]

-16 + 25b^2
= 25b^2 - 16
= (5b)^2 - (4)^2
= (5b - 4) (5b + 4) [Answer D]

2m^2 - 32n^2
= 2(m^2 - 16n)
= 2((m)^2 - (4n)^2))
= 2(m - 4n)(m + 4n) [Answer B]