if you multiply a binomial by a binomial how many terms are in the product before combining like terms? What about multiplying a monomial by a trinomial? Two trinomials?​

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Answer:

There will be four terms before combining like terms. Six when multiplying a monomial by a trinomial. And two trinomials will be nine terms.

Answer:

When multiplying two binomials, the result before combining like terms is four terms. When multiplying a monomial by a trinomial, the result before combining like terms is three terms. When multiplying two trinomials, the result before combining like terms is nine terms. The amount of terms one will get if a polynomial with m number of terms is multiplied by a polynomial with n number of terms will be the product of m and n. If a trinomial has three terms, and a binomial has two terms, then the result before combining like terms will be six terms. In question 2, and example of this is given at the very end.

Explanation: