Question 283339
Is the question this:
Is the product of two binomials always a trinomial?

If not, disregard this solution.


Consider:

(a+b)(a-b)=a^2-ab+ab-b^2=a^2-b^2. This is a binomial. Hence, it is not always true that the product of two binomials is a trinomial.


However, it is true in many other cases: 
(a+b)^2=a^2+2ab+b^2