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Popular >

factor x^{12}+2x^6+1

Solution

factor

x^{12} + 2 x^{6} + 1

Solution

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

Solution steps

x^{12} + 2 x^{6} + 1

Let

u = x^{2}

= u^{6} + 2 u^{3} + 1

Factor

u^{6} + 2 u^{3} + 1 : (u + 1) (u^{2} - u + 1) (u + 1) (u^{2} - u + 1)

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

Substitute back

u = x^{2}

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

Simplify

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

Popular Examples

5(u+1)-u=4(u-1)+9

5 (u + 1) - u = 4 (u - 1) + 9

x^{2} - 7 x + 10 > 0

12 x^{2} + 60 x + 75 = 0

simplify (5a)/(a+2)-(3a-4)/(a+2)simplify

\frac{5 a}{a + 2} - \frac{3 a - 4}{a + 2}

factor 2x^2-9x factor

2 x^{2} - 9 x

Frequently Asked Questions (FAQ)

What is factor x^{12}+2x^6+1 ?
The solution to factor x^{12}+2x^6+1 is (x^2+1)^2(x^4-x^2+1)^2