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

13.06.2025 03:34

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

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Do people of NYC drive around Central Park all the time? Is there any subway tunnel to cross the park quickly? Is it annoying for people and does it cause traffic?

n^2 - n + n - 1

n^2 - 1

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

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

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

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

Why won't biden give a last minute deferred action TO ALL undocumented immigrants so Trump can't deport them? Obama issued DACA, why can't Biden issue something similar that protects ALL undocumented immigrants from deportation?

(n - 1)(n + 1)

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Move the nub up to the top: