Question

Without actually calculating the cubes. Find the value of (-12) 3 +(4)3 + (8)3

Answer 1

Answer:

(-12)³+ (7)³+ (5)³ = - 1260

Step-by-step explanation:

Let x = -12, y = 7 & z = 5

x + y + z = -12 + 7 + 5 = 0

Here, x + y + z = 0

We know that if,

x + y + z = 0, then x³ + y³ + z³ = 3xyz

(-12)³ + (7)³ + (5)³ = 3(-12)(7)(5) = -1260

(-12)³+ (7)³+ (5)³ = - 1260

Answer 2

Answer:

-1260

Step-by-step explanation:

(a+b+c)³ = a³ + b³ + c³ -3abc

So , if (a+b+c) is equal to 0 , then ,

a³ + b³ + c³ = 3abc

Here , (-12 + 7 + 5) = 0

So , (-12)³+(7)³+(5)³ = 3(-12)(7)(5)

= -1260 (Ans)

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