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Factorise : (5x – y)^3 + ( y – 4z)^3 + (4z –5x)^3

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Factorise : (5x – y)3  + ( y – 4z)3  + (4z –5x)3

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Let a = 5x – y, b = y – 4z, c= 4z – 5x

a + b + c = 5x - y + y - 4z + 4z - 5x = 0

∴ a3 + b3 + c3 = 3abc

⇒ (5x - y)3 + (y - 4z)3 + (4z - 5x)3 + (4z - 5x)3 = 3(5x - y)(y - 4z)(4z - 5x)

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