9(6+x)
by the distributive property,
distributing the 9 to each term in the brackets,
we get,
9*6 + 9*x
So yes, #1 is true.
---------------------------------------------------------------
(x+8)9
again by the distributive property,
giving the 9 to each term in the brackets,
x*9 + 8*9
which is NOT the same as
x + (8*9)
so #2 is false.
Hope that helps.