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
A clearer way to write it is:
> Basically:
> **(x-1)(x+1)** + 1 = x^^2
Since (x-1)(x+1) = x^^2 – 1
this can be simplified to:
> Basically:
> **x^^2 – 1** + 1 = x^^2
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