Multiplying two binomials involves applying the distributive property so that each term in one binomial multiplies each term in the other, then combining like terms and correctly managing coefficients, variables, and signs. An area model or symbolic expansion reveals why products such as produce a quadratic expression and supports later work with polynomial simplification, expansion, and factoring; this scope focuses on one-variable binomials with numerical coefficients, not multivariable or abstract polynomial generalizations.
To multiply two binomials, use the distributive property: multiply each term in the first binomial by each term in the second binomial. Then combine like terms.
Example:
Multiply each term in the first binomial by both terms in the second:
Now simplify each product:
Combine the like terms and :
Therefore,
Check that there are four products before combining like terms: , , , and .
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