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Popular >

factor (x^6-1)/(x^2-1)

Solution

factor

\frac{x ^{6} - 1}{x ^{2} - 1}

Solution

x^{4} + x^{2} + 1

Solution steps

\frac{x ^{6} - 1}{x ^{2} - 1}

Factor

x^{6} - 1 : (x + 1) (x - 1) (x^{4} + x^{2} + 1)

= \frac{( x + 1 ) ( x - 1 ) ( x ^{4} + x ^{2} + 1 )}{x ^{2} - 1}

Factor

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

= \frac{( x + 1 ) ( x - 1 ) ( x ^{4} + x ^{2} + 1 )}{( x + 1 ) ( x - 1 )}

Cancel

\frac{( x + 1 ) ( x - 1 ) ( x ^{4} + x ^{2} + 1 )}{( x + 1 ) ( x - 1 )} : x^{4} + x^{2} + 1

= x^{4} + x^{2} + 1

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Frequently Asked Questions (FAQ)

What is factor (x^6-1)/(x^2-1) ?
The solution to factor (x^6-1)/(x^2-1) is x^4+x^2+1