Multiplication of Algebraic Expressions
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Multiplication of Algebraic Expressions
Polynomials: Algebraic expressions with their variables having whole numbers as exponents or powers are called polynomials. Some possibilities while multiplying polynomials      •  Monomial ×  Monomial      •  Monomial × Binomial      •  Monomial × Trinomial      •  Binomial × Binomial      •  Binomial × Trinomial The product of monomials is equal to the product of their coefficients multiplied by the product of their variables. Product of Monomials = Product of Coefficients x Product of Variables.  Steps to multiply polynomials 1. Apply the distributive law to reduce the multiplication of expressions to products of monomials. 2. Add the powers of the variable, if a variable is multiplied with itself. 3. Add the like terms in the product. Distributive law: a x (b + c) = (a x b) + (a x c)

#### SUMMARY

Polynomials: Algebraic expressions with their variables having whole numbers as exponents or powers are called polynomials. Some possibilities while multiplying polynomials      •  Monomial ×  Monomial      •  Monomial × Binomial      •  Monomial × Trinomial      •  Binomial × Binomial      •  Binomial × Trinomial The product of monomials is equal to the product of their coefficients multiplied by the product of their variables. Product of Monomials = Product of Coefficients x Product of Variables.  Steps to multiply polynomials 1. Apply the distributive law to reduce the multiplication of expressions to products of monomials. 2. Add the powers of the variable, if a variable is multiplied with itself. 3. Add the like terms in the product. Distributive law: a x (b + c) = (a x b) + (a x c)

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