Simplify
(2.5m + 1.5q)2 + (2.5m - 1.5q)2
The given expression is
(2.5m + 1.5q)2 + (2.5m - 1.5q)2
We have
(2.5m + 1.5q)2 = (2.5m)2 + 2(2.5m)(1.5q) + (1.5q)2
(2.5m - 1.5q)2 = (2.5m)2-2(2.5m)(1.5q) + (1.5q)2
Therefore,
(2.5m + 1.5q)2 + (2.5m - 1.5q)2
= (2.5m)2 + 2(2.5m)(1.5q) + (1.5q)2 + (2.5m)2-2(2.5m)(1.5q) + (1.5q)2
= 12.50m2 + 4.50q2
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