SOLUTION: If a^2 - 2ab + b^2 = 36 and a^2 - 3ab + b^2 = 22 what is the value of ab ? (A) 6 (B) 8 (C) 12 (D) 14 (E) It cannot be determined from the information give

Question 253171: If a^2 - 2ab + b^2 = 36 and a^2 - 3ab + b^2 = 22 what is the value of ab ?
(A) 6 (B) 8 (C) 12 (D) 14 (E) It cannot be determined from the information give
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Given, a^2 - 2ab + b^2 = 36 ...(1)
and a^2 - 3ab + b^2 = 22 ...(2)
(1)-(2)=>
(a^2 - 2ab + b^2)-(a^2 - 3ab + b^2) = 36-22
a^2 - 2ab + b^2-a^2 + 3ab - b^2 = 14
ab = 14

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