# 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)   (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