Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
Expert Solution & Answer
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Chapter SR11, Problem 1P
Solution

To simplify the expression a+5a+3 .

  a2+8a+15

Given:

The expression, a+5a+3

Concept Used:

  • Like terms are the terms that contain the same variable with similar exponents on it. Constants are like terms as well.
  • Distributive property: ab±c=ab±ac
  • Distributing negative sign inside the parenthesis will change the sign of all terms inside the parenthesis.
  • Product of powers property, anam=an+m
  • FOIL to multiply binomials, a+bc+d=ac+ad+bc+bd

Calculation:

In order to simplify the given expression a+5a+3 , use the FOIL method to multiply the binomials and then simplify further by combining the like terms as shown below

  a+5a+3=aa+a3+5a+53=a2+3a+5a+15=a2+8a+15

Thus, the given expression simplifies to a2+8a+15 .

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