What is factor (x^6-8)/(x^2-2) ?

The solution to factor (x^6-8)/(x^2-2) is x^4+2x^2+4

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factor (x^6-8)/(x^2-2)

factor

\frac{x ^{6} - 8}{x ^{2} - 2}

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

Solution steps

\frac{x ^{6} - 8}{x ^{2} - 2}

Factor

x^{6} - 8 : (x^{2} - 2) (x^{4} + 2 x^{2} + 4)

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

Cancel the common factor:

x^{2} - 2

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

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What is factor (x^6-8)/(x^2-2) ?
The solution to factor (x^6-8)/(x^2-2) is x^4+2x^2+4