let, a=b or,a^2=ab or,a^2 - b^2=ab - b^2 or,(a+b)(a-b)=b(a-b) or,a+b=b or,b+b=b or,2b=b 2=1 what's the wrong?
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a=b a^2=a.b a^2-b^2 =ab-b^2 (a-b)(a+b) = b(a-b)
Everything is right so far. Logically, the next step will be to divide both sides by a-b, as this is the common term. However, a=b. Therefore a-b =0. Since one cannot divide anything by 0, one cannot divide the expression by a-b.