Answered: Find the least common multiple and…

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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Related questions

Question

Find the least common multiple and greatest common divisor o following algebraic expressions:
1.- a²b²c ; ab²c² ; a²bc³
2.- x²y²z ; -abx⁵y³z⁴ ; a²b³x²y⁴ z
3.- 17a⁵bc² ; -12a²bc ; 6a²bc³
4.- 45x⁵yz² ; -30x⁴y³z⁵ ; 60x⁵y²z⁴
5.- m + n ; m² - n² ; am + an
6.- a² + 2ab + b² ; a + b ; ma + mb
7.- a - b ; a² - b² ; a³ - b³
8.- 3x - 6y ; 4x² - 8xy ; x² - 4xy + 4y²

Expert Solution

Step 1

Given: The algebraic expressions are:

1. $a^{2} b^{2} c; a b^{2} c^{2}; a^{2} b c^{3}$

2. $x^{2} y^{2} z; - a b x^{5} y^{3} z^{4}; a^{2} b^{3} x^{2} y^{4} z$

3. $17 a^{5} b c^{2}; - 12 a^{2} b c; 6 a^{2} b c^{3}$

To find: Least common divisor(L.C.M.) and Greatest common divisor(G.C.D.) of the following expressions.

Concept used: 1. Least common multiple of the algebraic expression is equal to the product of all the variables of the algebraic expressions with their highest power.

2. Greatest common divisor of the algebraic expression is the product of the variables which are common in all algebraic expressions with the least powers.

Note: As per the guideline if more than three subparts are posted then only the first three subparts need to be answered because others can be reposted.