Question

with out any actual calculation evaluate (42)³-(18)³-(24)³​

Answer 1

Answer:

54432

Step-by-step explanation:

74088-5832-13824

54432

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Answer 2

Step-by-step explanation:

$42 + ( - 18) + (- 24) = 42 - 42 = 0$

USE THE IDENTITY :

${a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c) \\ \\ \\ if \: a + b + c = 0 \\ then \: {a}^{3} + {b}^{3} + {c}^{3} = 3abc$

HERE a+b+c=0

3 ×42×-18×-24=126×432=54432.