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

Last Updated: 17.06.2025 03:43

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

Move the nub up to the top:

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

(n - 1)(n + 1)

Why can’t Trump campaign on the real issues facing America rather than insulting the character of VP Harris? Does MAGA actually believe this tactic will work?

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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

n^2 - n + n - 1

Gun owners, imagine if an attacker comes to your home and takes your gun to use against you before you had the chance to pick it up. Would you regret owning a gun?

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n^2 - 1

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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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What makes you think that former U.S. President Donald Trump's legal team has already been laying the groundwork for an appeal in the hush money trial?

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