Using factor theorem factorise x^3- 12x^2+47x-60
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Answer:
(x-4)³ - (x-4)
Step-by-step explanation:
x³ - 12x² + 47x - 60
= x³ - 12x² + 48x - 64 - x +4
= (x³ - 12x² + 48x - 64) - (x-4)
= (x³ - 3.x².4 + 3.x.4² - 4³) - (x-4)
- a³ - 3a²b + 3ab² - b³ = (a+b)³
= (x-4)³ - (x-4)
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