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Question -

If a – b = -8 and ab = -12 then a3 – b3 =
(a) -244
(b) -240
(c) -224
(d) -260



Answer -

a – b = -8, ab = -12
(a – b)3 = a3 – b3 – 3ab (a –b)
(-8)3 = a3 – b3 – 3 x (-12)(-8)
-512 = a3-b3– 288
a3 – b3 = -512 + 288 = -224     (c)

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