1+1=1???

Had another hour of math again 2day... still doing algebra cos Mr. Sam said its for basic concept b4 entering calculus... anyway, he gave us a very interesting question... Here it is:

a=b      let a=1 (meaning b=1 also)

then multiply 'a=b' by 'a', it will then give you

a²=ab

then da whole thing minus 'b²'

a²-b²=ab-b²

then factorize da thing and it becomes

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

finally, cut da (a-b) on both sides of da equation and its becomes

a+b=b >>>> which is equals to 1+1=1 since 'b' equals to 'a' and 'a' is '1' (see from top)

i'm oso confused by it for a moment... guess i'll let you all ponder on it for a moment...


finally, a word of appreciation to Ms. PeiYi from CAE for being ever so helpful by changing my timetable for me... Thanks!! And finally, goodnitex evry1!!!