Concept explainers
In Exercises 1-21, perform the indicated operations.
1.

The expression after performing the indicated operations.
Answer to Problem 1MCP
Solution:
After performing the indication operation, the given expression is determined to be
Explanation of Solution
Given:
The algebraic expression
Concept used:
Term: A term is a number, variable or the product of a number and variable.
Coefficient: A coefficient is the numeric factor of the given term.
Constant term: A constant term is a term that contains only a number.
Degree of the term: The degree of the term is the sum of the exponents on the variables contained in the term.
Like terms: Like terms are those that have the exact same variables raised to the exact same exponents. When applying algebraic addition or subtraction to a given expression, only like terms can be combined and their coefficients added or subtracted respectively.
Product rule for exponents:
When multiplying terms of an expression, the exponents of like bases are added as follows,
Quotient rule for exponents:
Dividing like bases with exponents follows the quotient rule as follows:
Calculation:
Description: | |
Step 1: Remove the brackets ( ) and simplify Step 2: To multiply monomials use the product rule, add the exponents of like bases. Here, the bases are x and y . | |
Conclusion:
After performing the indication operation, the given expression is determined to be
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Chapter 5 Solutions
EBK INTRODUCTORY ALGEBRA FOR COLLEGE ST
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