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

16.06.2025 03:18

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

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

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

Are you afraid to get married and why?

n^2 - n + n - 1

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What are the major security challenges facing India, both domestically and internationally, and how does the government address them?

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

(n - 1)(n + 1)

Move the nub up to the top:

My son died seven months ago at the age of 24 how do I know if he’s in heaven and can he see me and hear me and why have I not gotten any signs yet from him or Mom just not seeing the signs how do I know if he’s OK how do I know if he’s happy?

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

Why can't my adopted sister accept she is not part of my family because she isn't related? Why can't she stop calling my parents mum and dad?

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n^2 - 1

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How can I handle my distrust and jealousy for my partner?

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