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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Factor

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

= \frac{( x + 2 ) ( x - 2 )}{x ^{6} - 8}

Factor

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

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

Cancel

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

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

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Frequently Asked Questions (FAQ)

What is expand (x^2-2)/(x^6-8) ?
The solution to expand (x^2-2)/(x^6-8) is 1/(x^4+2x^2+4)