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Question
If a - b = -8 and ab = -12 then a3−b3=
If a - b = -8 and ab = -12 then a3−b3=
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Solution
The correct option is C -224
a−b=−8,ab=−12(a−b)3=a3−b3−3ab(a−b)⇒(−8)3=a3−b3−3×(−12)(−8)⇒−512=a3−b3−288⇒a3−b3=−512+288=−224
-224
a−b=−8,ab=−12(a−b)3=a3−b3−3ab(a−b)⇒(−8)3=a3−b3−3×(−12)(−8)⇒−512=a3−b3−288⇒a3−b3=−512+288=−224
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