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15q4r, 20r3s

15q4r, 20r3s

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find the LCM #10

**Mathematical Expressions and Simplification** Given the following mathematical expressions: 7. \( \mathbf{48m^4n^2, \; 60m^2n^3} \) 10. \( \mathbf{15q^4r, \; 20r^3s} \) --- **Problem 7: Simplify \( 48m^4n^2 \) and \( 60m^2n^3 \)** Expression 1: \( 48m^4n^2 \) Expression 2: \( 60m^2n^3 \) **Steps to Simplify:** - Identify common factors in both expressions. - Factor out the greatest common divisor (GCD) for both numerical coefficients and variables. - Highest power of each variable common to both expressions will be the GCD for variables. **Problem 10: Simplify \( 15q^4r \) and \( 20r^3s \)** Expression 1: \( 15q^4r \) Expression 2: \( 20r^3s \) **Steps to Simplify:** - Identify common factors in both expressions. - Factor out the greatest common divisor (GCD) for both numerical coefficients and variables. - Highest power of each variable common to both expressions will be the GCD for variables. These simplified forms will help in further mathematical operations such as addition, subtraction, or multiplication of polynomial expressions.
Transcribed Image Text:**Mathematical Expressions and Simplification** Given the following mathematical expressions: 7. \( \mathbf{48m^4n^2, \; 60m^2n^3} \) 10. \( \mathbf{15q^4r, \; 20r^3s} \) --- **Problem 7: Simplify \( 48m^4n^2 \) and \( 60m^2n^3 \)** Expression 1: \( 48m^4n^2 \) Expression 2: \( 60m^2n^3 \) **Steps to Simplify:** - Identify common factors in both expressions. - Factor out the greatest common divisor (GCD) for both numerical coefficients and variables. - Highest power of each variable common to both expressions will be the GCD for variables. **Problem 10: Simplify \( 15q^4r \) and \( 20r^3s \)** Expression 1: \( 15q^4r \) Expression 2: \( 20r^3s \) **Steps to Simplify:** - Identify common factors in both expressions. - Factor out the greatest common divisor (GCD) for both numerical coefficients and variables. - Highest power of each variable common to both expressions will be the GCD for variables. These simplified forms will help in further mathematical operations such as addition, subtraction, or multiplication of polynomial expressions.
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