# 1.8 Multiplication of Algebraic Expressions

**Multiplying Monomials • Products of Monomials and Polynomials • Powers of Polynomials**

To find the product of two or more monomials, we multiply the numerical coefficients to find the numerical coefficient of the product, and multiply the literal numbers, remembering that *the exponents may be combined only if the base is the same*.

# EXAMPLE 1 Multiplying monomials

$2xy(\hspace{0.17em}-\hspace{0.17em}6c{x}^{2})(3xc{y}^{2})\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}36{c}^{2}{x}^{4}{y}^{3}$

# NOTE

[If a product contains a monomial that is raised to a power, we must ...

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