Basic Technical Mathematics, 11th Edition

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

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   .8-6 Full Alternative Text

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

NOTE

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