if a²+b²=4 and (a-b)²=36 then find value of a b.
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Given ,
• a² + b² = 4 ———(i)
• (a - b)² = 36 ———(ii)
From (ii) ,
a² – 2ab + b² = 36
→ a² + b² – 2ab = 36
→ 4 – 2ab = 36 {from (i)}
→ – 2ab = 36 – 4
→ – 2ab = 32
→ ab = –32/2
→ ab = –16
Hence the value of ab is –16
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