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

14.06.2025 06:33

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

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

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

What are the reasons why am I so tired before my period?

n^2 - 1

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How do you leave a relationship when you are still in love?

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

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How common are novels, animes, or mangas, that are both coming of age and thriller? What do you think of these kinds of stories? What are some examples?

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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

Why do women stubbornly refuse to let men lead, even though they are attracted to the man, and the man both loves and desires them? Why do they get angry and blame the man when he gets fed up and walks away, when it's entirely their own fault?

(n - 1)(n + 1)

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

Move the nub up to the top:

Why is pure dopamine not a recreational drug? And if it was wouldn’t it be the most addictive and fairly side effect free?

n^2 - n + n - 1