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Question
Simplify:
(4.5a + 1.5b)2 + (4.5b + 1.5a)2
Solution
We have,
(4.5a + 1.5b)2 + (4.5b + 1.5a)2 = (4.5a)2 + (1.5b)2 + 2 × 4.5a × 1.5b + (4.5b)2 + (1.5a)2 + 2 × 4.5b × 1.5a ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
= 20.25a2 + 2.25b2 + 13.5ab + 20.25b2 + 2.25a2 + 13.5ab
= 40.5a2 + 4.5b2 + 27ab
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