Simplify (1.5 × 1.5 + 2.5 × 2.5 + 3.5 × 3.5 + 2 × 1.5 × 2.5 + 2 × 2.5 × 3.5 + 2 × 1.5 × 3.5) divided by (1.5 + 2.5 + 3.5).

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Let's denote a = 1.5, b = 2.5, c = 3.5. The numerator is: a^2 + b^2 + c^2 + 2ab + 2bc + 2ac. This can be rewritten using the identity: a^2 + b^2 + c^2 + 2ab + 2bc + 2ac = (a + b + c)^2. So, numerator = (1.5 + 2.5 + 3.5)^2 = (7.5)^2 = 56.25. Denominator = 1.5 + 2.5 + 3.5 = 7.5. Therefore, the value is 56.25 / 7.5 = 7.5.

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