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You have two x terms and two y terms in order to get x2 and y2. Since x2 has a coefficient of 1, it's safe to say that we're looking at (x + ay)(x + by), where a and b are y's coefficients. You need some combination of a and b that, when multiplied, makes -16. Your options are -1 and 16, 1 and -16, -2 and 8, 2 and -8, and 4 and -4. However, notice that you don't have anything to the first power in this equation. This means that the resulting "xy" terms must cancel out, and the only way to do that is if you have 4 and -4. So you get (x + 4y)(x - 4y).

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11y ago
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Q: What is x squared minus 16y squared factored?
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