x+y=√7,x-y=√5 হলে 8ab (a2+b2) এর মান কত?

x+y=√7,x-y=√5 হলে 8ab (a2+b2) এর মান কত?

  1. 24
  2. 36
  3. 48
  4. 72

Answer: 24

Explanation: 8ab(a² + b²) = 4ab.2(a² + b²)
= {(a² + b²) – (a² – b²)}{(a² + b²) + (a² – b²)}
= {(✓7)² – (✓5)²}{(✓7)² + (✓5)²}
= (7 – 5)(7 + 5)
= 2×12
= 24

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