Question

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→evaluate $(x-y)^{3}$ + $(y-z)^{3}$ + $(z-x)^{3}$ ←
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Answer 1

Step-by-step explanation:

( x - y )³ + ( y - z )³ + ( z - x )³

We know that

If a + b + c = 0 then a³ + b³ + c³ = 3abc

Here,

• a = x - y
• b = y - z
• c = z - y

a + b + c = x - y + y - z + z - x = 0

( x - y )³ + ( y - z )³ + ( z - x )³ = 3( x - y )( y - z )( z - z )