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Popular >

factor x^8+4

Solution

factor

x^{8} + 4

Solution

(x^{4} + 2 x^{2} + 2) (x^{4} - 2 x^{2} + 2)

Solution steps

x^{8} + 4

Let

u = x^{2}

= u^{4} + 4

Factor

u^{4} + 4 : (u^{2} + 2 u + 2) (u^{2} - 2 u + 2)

= (u^{2} + 2 u + 2) (u^{2} - 2 u + 2)

Substitute back

u = x^{2}

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

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Frequently Asked Questions (FAQ)

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