A-b=-8 and ab =-12 ,then a cube - b cube = ?
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-224 is the correct answer
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Step-by-step explanation:
a - b = -8
a + 8 = b
(a + 8) * a = -12
a² + 8a + 12 = 0
∴ a = -6, -2
if a = -6,
then b = 2
if a = -2
then b = 6
∴if a = -6,
then a³ - b³ = -216 + 8 = -208
if a = -2
then a³ - b³ = -8 + 216 = 208
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