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You can work this out with long division, by checking to see if (x2 - 1) is a factor of (2x4 + 4x3 - x2 + 4x - 3). It is. Unfortunately, the WikiAnswers system is somewhat limited in depicting things such as long division, so we won't be able to represent it here. In short though, (2x4 + 4x3 - x2 + 4x - 3) / (x2 + 1) is equal to 2x2 + 4x - 3. which means that:

(x2 + 1) / (2x4 + 4x3 - x2 + 4x - 3)

= (x2 + 1) / (x2 + 1)(2x2 + 4x - 3)

= 1 / (2x2 + 4x - 3)

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14y ago

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