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Question -

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



Answer -

a тАУ b = -8, ab = -12
(a тАУ b)3┬а= a3┬атАУ b3┬атАУ 3ab (a тАУb)
(-8)3┬а= a3┬атАУ b3┬атАУ 3 x (-12)(-8)
-512 = a3-b3тАУ 288
a3┬атАУ b3┬а= -512 + 288 = -224┬а ┬а┬а┬а(c)

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