# 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" ?