Rules on multiplying Monomial to monomials ; Monomial to Binomial : Binomial to Binomial ; Binomial to Trinomial ?

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To multiply different types of polynomials, including monomials, binomials, and trinomials, follow these rules:

1. Multiplying a Monomial by a Monomial:
- Multiply the coefficients (numbers) together.
- Raise each variable in the monomial to the sum of their respective exponents. For example, if you have x^2 multiplied by x^3, you add the exponents: x^(2+3) = x^5.
- Simplify the result if possible by combining like terms.

2. Multiplying a Monomial by a Binomial:
- Distribute the monomial to each term in the binomial.
For example, if you have 5x multiplied by (3x + 2), you would multiply 5x by 3x and 5x by 2.
- Follow the rules for multiplying monomials mentioned above.
- Simplify the result by combining like terms.

3. Multiplying a Binomial by a Binomial:
- Multiply each term from one binomial by each term from the other binomial using the distributive property.
- Follow the rules for multiplying monomials mentioned above.
- Simplify the result by combining like terms.

4. Multiplying a Binomial by a Trinomial:
- Use the distributive property twice to multiply each term from the binomial by each term from the trinomial.
- Follow the rules for multiplying monomials mentioned above.
- Simplify the result by combining like terms.

Remember to always double-check your work, especially when combining like terms and simplifying the final expression.