Can someone help me with a question for a fan and medal?

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Can someone help me with a question for a fan and medal?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Some steps to rewrite the expression x3 - 16x + x2 - 16 as a product of three factors are shown below: Step 1: x3 - 16x + x2 - 16 Step 2: x3 + x2 - 16x - 16 Step 3: x2(x + 1) - 16(x + 1) Which of the following best shows the next two steps to rewrite the expression? Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1) Step 4: (x2 - 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1) Step 4: (x2 - 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1) Step 4: (x2 + 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1)
it should be the third option because...
Step 3: x2(x + 1) - 16(x + 1) we would take the terms on the outside and put them in a set of parenthesis so... (x2-16) then we notice the one on the side is (x+1) and its the same twice so we rewrite it one time therefore step 4 would look like (x2-16)(x+1)..... Next for step 5 we need to factor out the perfect square binomial (x2-16) to turn it into (x+4) and (x-4).... this is because there is a specific rule for that... the whole step 5 looks like (x - 4)(x + 4)(x + 1)

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i hope that makes sense!! :D :))
Alright, thank you for you're help! I understand now. It does make sense, thank you again. Now here is your medal and fan as promised.
aw thank you much!
What I don't understand is when I first posted this question, some dude came in the thread just to give me a medal and then left :/ The thing is I'm fine with a medal as long as I get help!
haha yeah I was wondering where that medal came from :D
Well, now you know. Thanks again for the help. I will tag you in another question if your online when I need the help then.
alright, i'll try ;)
Thank you!

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