(4.53 − 3.07)2 + (3.07 − 2.15)2 + (2.15 −

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(4.53 − 3.07)² + (3.07 − 2.15)² + (2.15 − 4.53)² is simplified to
(3.07 − 2.15)(2.15 − 4.53) (2.15 − 4.53)(4.53 − 3.07) (4.53 − 3.07)(4.53 − 2.15)

Let (4.53 – 3.07) = a
(3.07 – 2.15) = b and
(2.15 – 4.53) = c ∴ a + b + c = 0
∴ Expression

=	a²	+	b²	+	c²
	bc		ac		ab

=	a³ + b³ + c³	=	3abc	= 3
	abc		abc

[If a + b + c = 0, a³ + b³ + c³ = 3abc]

(4.53 − 3.07)²	+	(3.07 − 2.15)²	+	(2.15 − 4.53)²	is simplified to
(3.07 − 2.15)(2.15 − 4.53)		(2.15 − 4.53)(4.53 − 3.07)		(4.53 − 3.07)(4.53 − 2.15)