Mistakes give rise to Problems- 3

Algebra Level 2

We know that \[ a\times (b+c) = (a\times b) +(a\times c)\] This property is there for "multiplication distributed over addition"

But if you do it in multiplication, then it's the following FALSE property \[a\times (b\times c) = (a\times b) \times (a\times c)\]

If you do it, it'll be a mistake !!!

But for how many distinct real values of \(a\) (independent of \(b\) and \(c\), they can be anything except 0) is the above "False" property seen to be "always true" ?


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