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Animi velit error sapiente nihil.

Iusto sint ea fuga hic. Iusto vero accusantium ut molestias. Sed iusto vitae ipsum qui occaecati aut...

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Why is (n-1)(n+1)=n^2-1?

The basic answer is that you cross-multiply the values in each factor: (n - 1)(n + 1) n^2 - n + n -...