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

Last Updated: 18.06.2025 02:24

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

Move the nub up to the top:

xxx x

xxxx

Why do some women alter their faces by so-called cosmetic surgeries (on their eyes, cheeks, lips, chin, jaw) that making them look like Donald Duck or puffy aliens, while for most men these unnatural facial changes are ridiculous or even disgusting?

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

xxx

xxx

If you’re an atheist, what would be your motive in spreading atheism, and why would you care what others believe?

(n - 1)(n + 1)

xxx x

xx

Which Shakespeare words have completely changed meaning in modern English?

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

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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If English makes 3 additional gender terms to accommodate for XXX, XXY, and XYY people, what would be the most realistic terms for those genders?

n^2 - n + n - 1

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

n^2 - 1

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