why does x^2 (x+2)-(x+2) factor into (x+2)(x^2-1)? *Better formatted in post.

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Like, where does the “-1” come from? I feel like I am missing something painfully obvious…

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Factor x^(2)(x + 2) – (x + 2) = (x + 2)(x^(2) – 1) = (x + 2)(x – 1)(x + 1)

I understand that you’re supposed to factor out the (x+2), but for some reason I can’t grasp the sequence of orders happening there…

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Anonymous 0 Comments

When you factor out the (x+2) you’re having to divide the remaining components by that value.

x^(2)(x+2) / (x+2) is just x^2

-(x+2) / (x+2) is just -1

Ergo, (x+2)(x^(2)-1).

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