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

Expand it:

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

Can you turn that into x(x + 2)+ 1 ?

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