Question
Find the simplified value of the given expression:
1.82Â + 2.42Â + 1.52Â - 1.8 x 2.4 - 2.4 x 1.5 - 1.8 x 1.5Solution
1.82Â + 2.42Â + 1.52Â - 1.8 X 2.4 - 2.4 X 1.5 - 1.8 X 1.5 a2Â + b2Â + c2Â - ab - bc - ac = (1/2) X [(a - b)Â 2Â + (b - c)Â 2Â + (c - a)Â 2] So, 1.82Â + 2.42Â + 1.52Â - 1.8 X 2.4 - 2.4 X 1.5 - 1.8 X 1.5 = (1/2) X [(1.8 - 2.4)Â 2Â + (2.4 - 1.5)Â 2Â + (1.5 - 1.8)Â 2] = (1/2) X (0.36 + 0.81 + 0.09) = (1/2) X (1.26) = 0.63
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