1 - 1 = 1 prove that
Answers
Answered by
1
Answer:
Let a = 1 and b = 1 .
2. Now this means that a = b .
3. If we multiply both sides by a we get a^{2} = ab .
4. If we then subtract b^{2} from both sides we would have a^{2} - b^{2} = ab - b^{2} .
5. We can then factorise both sides to get (a + b)(a - b) = b(a - b) .
6. Dividing both sides by (a - b) would give us a + b = b .
7. Substituting back the values of a = 1 and b = 1 would give us that 1 + 1 = 1 .
8. So this "proves" that 1 + 1 = 1 not 2 .
Except that in step 6, when we are dividing by a - b , we are in fact dividing by zero. This is a violation of the rules of mathematics and hence the reason why our conclusion is invalid.
Similar questions