solve using suitable identity: (1/2a+1/3b+1)²
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Answer:
1/4a^2 + 1/4b^2 + 1 -1/2ab -1 + 1
Step-by-step explanation:
Using (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac
= (1/2a)^2 + (-1/2b)^2 + 1^2 + 2×1/2a×-1/2b + 2×-1/2b×1 + 2×1/2a×1
= 1/4a^2 + 1/4b^2 + 1 -1/2ab -1 + 1
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