What quality must be added to each term of the ratio (a+2b):(a-2b) to make it equal to (a+b)2:(a-b)2

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter5: Polynomials And Polynomial Functions
Section5.4: Dividing Polynomials
Problem 339E: Divide 10x2+x122x and explain with words how you get each term of the quotient.
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What quality must be added to each term of the ratio (a+2b):(a-2b) to make it equal to (a+b)2:(a-b)2

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