Do we assume a value to be true be considered as 1 in algebraic manipulation?

Question

In my Digital Logics class, we are doing boolean algebra.

In the case where $ a * b * c $ (a and b and c)
can we assume either of those values to be 1?
so can we say that $a * b * c = 1 * b * c$,
in which case that would be $(a + a') * b * c$?