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Without actually calculating the cubes, find the value of each of the following:
(i)
(ii) 

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(i) Let x = −12, y = 7, and z = 5 It can be observed that, x + y + z = − 12 + 7 + 5 = 0 It is known that if x + y + z = 0, then ∴ = −1260 (ii) Let x = 28, y = −15, and z = −13 It can be observed that, x + y + z = 28 + (−15) + (−13) = 28 − 28...
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(i) 

Let x = −12, y = 7, and z = 5

It can be observed that,

x + y + z = − 12 + 7 + 5 = 0

It is known that if x + y + z = 0, then

∴ 

= −1260

(ii) 

Let x = 28, y = −15, and z = −13

It can be observed that,

x + y + z = 28 + (−15) + (−13) = 28 − 28 = 0

It is known that if x + y + z = 0, then

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