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like for or we use + and for 'and' we use multiplication
A binomial has two terms, while a trinomial has 3 terms. So both terms of the binomial will multiply each term of the trinomial (distribution property). After the multiplication you'll have 6 terms. Look for like terms, if there are, combine them.
There is nothing that you can do when you combine like terms that you cannot do without combining them. Some procedures might be easier, though, if like terms are combined.
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Combine 'like' terms.