en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 1+x^2+x^4

Solution

factor

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

Solution

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

Solution steps

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

Write in the standard form

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

Add and subtract

x^{2}

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

Factor

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

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

Factor

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

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

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

Popular Examples

factor 2y^3-12y^2+3y-18 factor

2 y^{3} - 12 y^{2} + 3 y - 18

\frac{70}{8}

simplify-3sqrt(84x^3)simplify

- 3 84 x^{3}

expand (x-3)(x+2)(x-4)expand

(x - 3) (x + 2) (x - 4)

expand (b+3)^2 expand

(b + 3)^{2}

Frequently Asked Questions (FAQ)

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