Question

simplify the following : (2x-3y)^3+(3y-5z)^3+(5z-2x)^3

Answer 1

★ EXPONENTIALLY RESOLVED ★

a³ + b³ + c³ = 3abc if and only if a = b = c or , a + b + c = 0

Here , same we are noticing , that the identity is in the format of A³ + B³ + C³ = 3ABC
Aslike , let's consider

( 2x - 3y ) = A
( 3y - 5z )= B
( 5z - 2x )= C

Then , A + B + C = 0
2x - 3y + 3y - 5z + 5z - 2x = 0

Hence , it's equivalent to 3ABC according to the above results -

3ABC = 3 [ ( 2x-3y)( 3y - 5z)( 5z - 2x )]
Furthermore is only reduction , which is a general operation

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