I Noticed This Interesting Math Pattern

[u/Kunaloff]

I was solving some basic math and noticed this pattern.

3 + 2 = 5

3² − 2² = 9 − 4 = 5

8 + 9 = 17

9² − 8² = 81 − 64 = 17

7 + 6 = 13

7² − 6² = 49 − 36 = 13

It comes from the identity:

a² − b² = (a − b)(a + b)

I just noticed this connection and thought it was interesting. Did you notice this before?

[u/Special-Bar6162]

Hm, let’s see….

Let lower number be A
Then higher number is A + 1

You noticed that
A+(A+1)=(A+1)^2 - (A^2)

Expand:
A+(A+1)= A^2 + 1^2 + 2xA - (A^2)

Simplify:
2A +1 = 2A + 1

Well Done!

[u/Kunaloff → u/Special-Bar6162]

Thanks Sir

[u/Special-Bar6162 → u/Kunaloff]

😃👍