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211. If (a + b)2 = 64, (a - b)2 = 16, find the value of ab+ 62 |
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Answer» Step-by-step explanation: (a+b)2 = 64 Therefore , a+b = 64 /2 a+b = 32 a = 32 - b ...........( 1 ) (a-b)2 = 16 Therefore, a-b = 16 / 2 a-b = 8 a = b + 8 ..............( 2 ) Using equations (1) & ( 2 ) , 32-b = b + 8 32- 8 = 2b 24 = 2b Therefore, b = 24/2 b = 12 ; Therefore , a = 12+8 a = 20 Now , AB = 20 × 12 = 240 Therefore, ab = 240 ab + 62 = 240 + 62 = 302 |
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