Answer :

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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