Complete the statement to describe the expression (a+b+c)(d+e+f)(a+b+c)(d+e+f)left parenthesis, a, plus, b, plus, c, right parenthesis, left parenthesis, d, plus, e, plus, f, right parenthesis.
the expression consists of
factors, and each factor contains
terms.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?