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Algebra

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Moderate

Solving an Equation Involving A, B and C

ALGEBR-1LLXDE

Given that:

$$\frac{x^{2} + 2}{x^{3} + 1} = \frac{A}{x + 1} + \frac{Bx + C}{x^{2} - x + 1}$$

...find constants A, B and C then compute:

$$AB + BC + CA - ABC.$$

A

$0$

B

$1$

C

$-1$

D

$-2$