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Popular >

factor x^6+3x^4+3x^2+1

Solution

factor

x^{6} + 3 x^{4} + 3 x^{2} + 1

Solution

(x^{2} + 1)^{3}

Solution steps

x^{6} + 3 x^{4} + 3 x^{2} + 1

Let

u = x^{2}

= u^{3} + 3 u^{2} + 3 u + 1

Factor

u^{3} + 3 u^{2} + 3 u + 1 : (u + 1) (u + 1) (u + 1)

= (u + 1) (u + 1) (u + 1)

Substitute back

u = x^{2}

= (x^{2} + 1) (x^{2} + 1) (x^{2} + 1)

Refine

= (x^{2} + 1)^{3}

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Frequently Asked Questions (FAQ)

What is factor x^6+3x^4+3x^2+1 ?
The solution to factor x^6+3x^4+3x^2+1 is (x^2+1)^3