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Popular >

factor m^4+m^2+1

Solution

factor

m^{4} + m^{2} + 1

Solution

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

Solution steps

m^{4} + m^{2} + 1

Add and subtract

m^{2}

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

Factor

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

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

Factor

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

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

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Frequently Asked Questions (FAQ)

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