if (a-b)=7 and ab=9 then (A2 + b2 )=?
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⟼ (a-b) = 7
⟼ (a-b)² = 7²
⟼ a²+b²-2ab = 49
⟼ a²+b² = 49+2ab
⟼ a²+b² = 49+2(9) [given that ab = 9]
⟼ a²+b² = 49+18
∴ a²+b² = 67
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