factor: 125+u3

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,...
Question

factor: 125+u3

Expert Solution
Step 1

Given:-

125 + u3

125 + u3  =  53 + u3 

Both Terms are Perfect Cubes,so

a3 + b3 = (a + b)(a2 - ab + b2)

a = 5 and b = u ,so

53 + u3 = (5 + u)(25 - 5u + u2)

= (u + 5)(u2 - 5u + 25)

 

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