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Popular >

factor n^4+n^2+1

Solution

factor

n^{4} + n^{2} + 1

Solution

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

Solution steps

n^{4} + n^{2} + 1

Add and subtract

n^{2}

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

Factor

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

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

Factor

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

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

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Frequently Asked Questions (FAQ)

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