What is factor 1+11x^2+36x^4 ?

The solution to factor 1+11x^2+36x^4 is (6x^2+x+1)(6x^2-x+1)

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factor 1+11x^2+36x^4

factor

1 + 11 x^{2} + 36 x^{4}

(6 x^{2} + x + 1) (6 x^{2} - x + 1)

Solution steps

1 + 11 x^{2} + 36 x^{4}

Write in the standard form

= 36 x^{4} + 11 x^{2} + 1

Add and subtract

x^{2}

= 36 x^{4} + 12 x^{2} + 1 - x^{2}

Factor

36 x^{4} + 12 x^{2} + 1 : (6 x^{2} + 1)^{2}

= (6 x^{2} + 1)^{2} - x^{2}

Factor

(6 x^{2} + 1)^{2} - x^{2} : (6 x^{2} + 1 + x) (6 x^{2} + 1 - x)

= (6 x^{2} + 1 + x) (6 x^{2} + 1 - x)

= (6 x^{2} + x + 1) (6 x^{2} - x + 1)

\frac{- 18}{2}

\frac{m ^{4}}{n ^{0}}

2 x + 3 \cdot 5 x - 1

4 (x - 3)^{2} - 5 (x - 3)

\frac{8}{3} - \frac{6}{4}

What is factor 1+11x^2+36x^4 ?
The solution to factor 1+11x^2+36x^4 is (6x^2+x+1)(6x^2-x+1)