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Find the quotient by factoring (which means show the factoring you did to get the answer). 27m³ - 125 3m - 5

Find the quotient by factoring (which means show the factoring you did to get the answer). 27m³ - 125 3m - 5

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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ALGEBRA two Finding quotients by factoring Remember to indicate what the numerator is. Example of how to solve is below. Solve Exactly like the example.
Find the quotient by factoring (which means show the factoring you did to get the answer). 27m³ - 125 3m - 5 Indicate if the numerator is a difference of squares, sum of cubes or difference of cubes. Show your work here: Answer:
Transcribed Image Text:Find the quotient by factoring (which means show the factoring you did to get the answer). 27m³ - 125 3m - 5 Indicate if the numerator is a difference of squares, sum of cubes or difference of cubes. Show your work here: Answer:
Find the quotient using factoring for your work. 27m³ - 1 3m-1 4 . Show Factor expression using a^3+b^3=(a-b)(a^2+ab+b^2), (3m-1) ((3m)^2+3m+1^2)/3m-1. Cross out the common factor, (3m)^2+3m+1^2. Multiply the exponents, keeping the base the same. Calculate the power, 9m^2+3m+1. 27m^3-1 3m-1 -= (3m-1)(9m^2+3m+1) (3m-1) =9m^2+3m+1 Factor: 27m^3-1=(3m-1) ((3m)^2+3m+1^2= (3m-1)(9m^2+3m+1) a^3-b^3-(a-b)(a^2+ab+b^2)
Transcribed Image Text:Find the quotient using factoring for your work. 27m³ - 1 3m-1 4 . Show Factor expression using a^3+b^3=(a-b)(a^2+ab+b^2), (3m-1) ((3m)^2+3m+1^2)/3m-1. Cross out the common factor, (3m)^2+3m+1^2. Multiply the exponents, keeping the base the same. Calculate the power, 9m^2+3m+1. 27m^3-1 3m-1 -= (3m-1)(9m^2+3m+1) (3m-1) =9m^2+3m+1 Factor: 27m^3-1=(3m-1) ((3m)^2+3m+1^2= (3m-1)(9m^2+3m+1) a^3-b^3-(a-b)(a^2+ab+b^2)
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