What is expand (5x^2+20x+6)/(x(x+1)^2) ?

The solution to expand (5x^2+20x+6)/(x(x+1)^2) is (5x^2+20x+6)/(x^3+2x^2+x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (5x^2+20x+6)/(x(x+1)^2)

expand

\frac{5 x ^{2} + 20 x + 6}{x ( x + 1 ) ^{2}}

\frac{5 x ^{2} + 20 x + 6}{x ^{3} + 2 x ^{2} + x}

Solution steps

\frac{5 x ^{2} + 20 x + 6}{x ( x + 1 ) ^{2}}

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

= \frac{5 x ^{2} + 20 x + 6}{x ( x ^{2} + 2 x + 1 )}

Expand

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

= \frac{5 x ^{2} + 20 x + 6}{x ^{3} + 2 x ^{2} + x}

\frac{x + 3}{( x - 1 ) ( x ^{2} + 1 )}

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

(3 x^{2} y - 6 x) d x + (x^{3} + 2 y) d y

(x - 1) \cdot e^{x}

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

What is expand (5x^2+20x+6)/(x(x+1)^2) ?
The solution to expand (5x^2+20x+6)/(x(x+1)^2) is (5x^2+20x+6)/(x^3+2x^2+x)