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Popular >

factor a^8+a^4-2

Solution

factor

a^{8} + a^{4} - 2

Solution

(a^{2} + 1) (a + 1) (a - 1) (a^{4} + 2)

Solution steps

a^{8} + a^{4} - 2

Let

u = a^{2}

= u^{4} + u^{2} - 2

Factor

u^{4} + u^{2} - 2 : (u + 1) (u - 1) (u^{2} + 2)

= (u + 1) (u - 1) (u^{2} + 2)

Substitute back

u = a^{2}

= (a^{2} + 1) (a^{2} - 1) (a^{4} + 2)

Factor

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

= (a^{2} + 1) (a + 1) (a - 1) (a^{4} + 2)

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Frequently Asked Questions (FAQ)

What is factor a^8+a^4-2 ?
The solution to factor a^8+a^4-2 is (a^2+1)(a+1)(a-1)(a^4+2)