Question

resolve
${x } ^{3} + {x}^{2} + 1 \div (x - 1)( {x}^{3} - 1)$
into partial fractions
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Answer 1

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Answer 2

➡(x^3-1)/(x^2-1)

➡x3−1x2−1

➡Simplify the numerator.

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➡(x−1)

(x2+x+1)x2−1

➡

Simplify the denominator.

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(x−1)(x2+x+1)(x+1)1

(x−1)

Cancel the common factor of x−1

.

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➡➡x2+x+1x+1

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