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If a - b = 3 and a^2 + b^2 = 31, find the value of ab.
If a - b = 3 and a^2 + b^2 = 31, find the value of ab.
Quiz
(A) 12
(B) 15
(C) 10
(D) 11
(E) 13
Answer/Solution
11
Steps/Work
2ab = (a^2 + b^2) - (a - b)^2
= 31 - 9 = 22
ab = 11.
Answer is D.
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If a - b =
and a ^
+ b ^
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, find the value of ab.
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