SOLUTION: Is the product of a binomial always a trinomial? Explain with examples.

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Question 283339: Is the product of a binomial always a trinomial? Explain with examples.
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
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