What is (x^6+x^4+x^2+1)/(x^2+1) ?

The solution to (x^6+x^4+x^2+1)/(x^2+1) is x^4+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^6+x^4+x^2+1)/(x^2+1)

simplify

\frac{x ^{6} + x ^{4} + x ^{2} + 1}{x ^{2} + 1}

x^{4} + 1

Solution steps

\frac{x ^{6} + x ^{4} + x ^{2} + 1}{x ^{2} + 1}

Factor

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

= \frac{( x ^{2} + 1 ) ( x ^{4} + 1 )}{x ^{2} + 1}

Cancel the common factor:

x^{2} + 1

= x^{4} + 1

146. 5^{2} - 109. 5^{2} + 27 \times 256

\frac{1}{2} \times x^{2}

lo g_{2} (4 n^{2})

∣ 7 - i ∣

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