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If a² + b² = 10 and a² - b² =8, what is the value of ab?

If a² + b² = 10 and a² - b² =8, what is the value of ab? Correct Answer 1

a2  +  b2 = 10 .... ... ...  (i)a2 - b2 = 8 .... ... ... (ii) (i) + (ii) 2a2 =18 ⇒ a2 = 9⇒ a =3Again, 2b2= 2∴ b = 1∴ ab = 1×3=3 Ans 3. 

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