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

10.06.2025 04:38

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

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

Move the nub up to the top:

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

How do you handle your mother-in-law after you heard her talking badly about you in the next room?

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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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Do any members of BTS have significant others in real life? If so, why do they choose not to discuss it publicly?

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

(n - 1)(n + 1)

Has anyone who has been a victim of a narcissist made contact with the other victims of the narcissist? Did it help to confirm what you suspected about the narcissists?

n^2 - 1

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Is it common for people to fall in love with someone else while still married? If so, why do they choose to stay in their marriage?

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n^2 - n + n - 1

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Are there any examples of outdated values in the Bible?

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