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Popular >

simplify (x^3-1)/(x^2+x+1)

Solution

simplify

\frac{x ^{3} - 1}{x ^{2} + x + 1}

Solution

x - 1

Solution steps

\frac{x ^{3} - 1}{x ^{2} + x + 1}

Factor

x^{3} - 1 : (x - 1) (x^{2} + x + 1)

= \frac{( x - 1 ) ( x ^{2} + x + 1 )}{x ^{2} + x + 1}

Cancel the common factor:

x^{2} + x + 1

= x - 1

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Frequently Asked Questions (FAQ)

What is (x^3-1)/(x^2+x+1) ?
The solution to (x^3-1)/(x^2+x+1) is x-1