Question 25 of 29advanced🔧 ApplyNumerical3 marks

Find the two ways in which 4104 and 13832 can each be expressed as the sum of two positive cubes.

(i)

Express 4104 as sum of two cubes in two ways

Answer

4104 = 2³ + 16³ = 9³ + 15³

(ii)

Express 13832 as sum of two cubes in two ways

Answer

13832 = 2³ + 24³ = 18³ + 20³

Explanation

(i) 2³ + 16³ = 8 + 4096 = 4104 and 9³ + 15³ = 729 + 3375 = 4104 (ii) 2³ + 24³ = 8 + 13824 = 13832 and 18³ + 20³ = 5832 + 8000 = 13832

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