One = Two

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Let a = b a X a = b X b ---------------------------- squaring on both sides... a X a = a X b ---------------------------- since a=b (a X a) - (b X b) = (a X b) - (b X b) --- subtracting (b X b) on both sides... (a+b)(a-b) = b(a-b) ---------------------- since a2-b2=(a+b)-(a-b) and taking b common a + b = b -------------------------------- canceling a-b on both sides 2b = b ----------------------------------- since a=b 2 = 1 ------------------------------------ canceling b on both sides. So One = Two... Undestood!!!! How is it possible??? Where is the mistake...