Why is any number squared equal to the the number before it times the number after it plus one?

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Why is any number squared equal to the the number before it times the number after it plus one?

Basically:

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

Does this work for all numbers??

In: Mathematics

7 Answers

Anonymous 0 Comments

Adding to the other answers, if you multiply the number two before and two after, the difference is 4. If you multiply the number three before and three after, the difference is 9. See the pattern?

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