(n + 1)^2 - n^2 = 43 simplify
n^2 + 2n + 1 - n^2 = 43
2n + 1 = 43 subtract 1 from both sides
2n = 42 divide both sides by 2
n = 21
So .....n + 1 = 22
Proof
22^2 - 21^2 =
484 - 441 =
or 43-0=43
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