What is expand 1/((x+1)(x^2+1)^2) ?

The solution to expand 1/((x+1)(x^2+1)^2) is 1/(x^5+2x^3+x+x^4+2x^2+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 1/((x+1)(x^2+1)^2)

expand

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

\frac{1}{x ^{5} + 2 x ^{3} + x + x ^{4} + 2 x ^{2} + 1}

Solution steps

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

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

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

Expand

(x + 1) (x^{4} + 2 x^{2} + 1) : x^{5} + 2 x^{3} + x + x^{4} + 2 x^{2} + 1

= \frac{1}{x ^{5} + 2 x ^{3} + x + x ^{4} + 2 x ^{2} + 1}

(x^{2} - 2) y d x

(2 - \frac{1}{2} x)^{10}

\frac{1}{2} - \frac{( w - 1 ) ^{2}}{2} + 2 w - 2 - \frac{w ^{2} - 1}{2}

(2 (n - 1))!

(- 2 sin (t))^{2} + (2 cos (t))^{2} + (4 cos (t) - 2 sin (t))^{2}

What is expand 1/((x+1)(x^2+1)^2) ?
The solution to expand 1/((x+1)(x^2+1)^2) is 1/(x^5+2x^3+x+x^4+2x^2+1)