For a certain class I had to prove 25-30 things in math that are impossible. I was the only one in my class to do so. Since then I thought of more and I was shown more.

Here is the first of a a number of them

given

a = b

a = 1

-----

a^2 = ab (where ^ = raised to the power)

a^2 -b^2 = ab - b^2

factor it out:

(a+B)(a-B) = b(a-B)

divide through by a-b

a+b = b

1 + 1 = 1

2 = 1

What is the flaw with this?

What is a-b?

When you divide through by a-b you are actually dividing through by 0 which is impossible

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For a certain class I had to prove 25-30 things in math that are impossible. I was the only one in my class to do so. Since then I thought of more and I was shown more.

Here is the first of a a number of them

given

a = b

a = 1

-----

a^2 = ab (where ^ = raised to the power)

a^2 -b^2 = ab - b^2

factor it out:

(a+B)(a-B) = b(a-B)

divide through by a-b

a+b = b

1 + 1 = 1

2 = 1

What is the flaw with this?

What is a-b?

When you divide through by a-b you are actually dividing through by 0 which is impossible

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