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Popular >

factor a^4+a^2+1

Solution

factor

a^{4} + a^{2} + 1

Solution

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

Solution steps

a^{4} + a^{2} + 1

Add and subtract

a^{2}

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

Factor

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

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

Factor

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

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

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Frequently Asked Questions (FAQ)

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