Question

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Answer 1

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]

Answer 2

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.