without actually calculating the cubes, find the value of each of the following. (28)cube+(-15) cube+(-13) cube
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We have to find the value :
=> (28)³ + (–15)³ + (-13)³
Let -» a = 28
b -» -15
c -» -13
=> a + b + c = 0
If -» a + b + c = 0. Then a³ + b³ + c³ = 3abc
→ 28)³+ (–15)³ + (-13)³ = 3(28)(-15)(-13) = 16380
→ (28)³+ (–15)³ + (-13)³ = 16380
Answer = 16380
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