Ayazgaad
Age: 27
4964 days old here
Total Posts: 176
Points : 86
Location:
Larkana Lines, Sindh, Pakistan, Pakistan
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a = b multiply both sides by a a^2 = a*b subtract b^2 from both sides a^2-b^2 = a*b-b^2 apply the distributive law to both sides (a+b)(a-b) = b(a-b) divide both sides by (a-b) (a+b) = b substitute all a's for b's (remember, if a = b you can do this)/ a+a = a regroup the two a's in the left side, and rename it 2a 2a = a divide both sides by a 2 = 1The point which I highlighted in red is where you would have to divide each side of (a+b)(a-b)=b(a-b) by (a-b) to get (a+b)=b But you will notice that if the first part of the proof (a=b) is true, then (a-b) would equal 0. And, as we know, we can't divide by 0, so from that point on this "proof" that 1=2 is relegated to the non-valid, but interesting, heap of other things which people try to use to prove things which are also false.
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