Respuesta :

Answer: Explain why     2 + 3(x � 2) = 5x � 10  (*)  is not true identity.

It is because the left part is

   2 + 3x - 6 = 3x - 4,

while the right side is 5x - 10.

The left side expression differs from that of the right side.

Therefore, (*) is not an identity.

We even can go further and write a hypothetical equation

3x - 4 = 5x - 10

which implies

2x = 6  and    then   x = 3.

So, the two original expressions are equal only at x = 3,  but they are not equal identically as functions.