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

Last Updated: 19.06.2025 01:44

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

(n - 1)(n + 1)

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How will the 2026 delimitation affect India as a whole keeping the new count of 888 seats in mind (not the current 543)? I’m looking for genuine answers with facts and not rhetoric. I will only listen to answers and not reply to any of them.

n^2 - n + n - 1

Move the nub up to the top:

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

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n^2 - 1

The basic answer is that you cross-multiply the values in each factor:

And you are left with almost a square. One less than the square of side n.

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So, that’s a rectangle with sides 2 and 4.

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If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

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