factor: 125+u3

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter10: Polynomials
Section10.6: Introduction To Factoring Polynomials
Problem 10.184TI: Factor: 16z56.
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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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