What is expand (5x^2+12x+3)/(x(x+1)^2) ?

The solution to expand (5x^2+12x+3)/(x(x+1)^2) is (5x^2+12x+3)/(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+12x+3)/(x(x+1)^2)

expand

\frac{5 x ^{2} + 12 x + 3}{x ( x + 1 ) ^{2}}

\frac{5 x ^{2} + 12 x + 3}{x ^{3} + 2 x ^{2} + x}

Solution steps

\frac{5 x ^{2} + 12 x + 3}{x ( x + 1 ) ^{2}}

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

= \frac{5 x ^{2} + 12 x + 3}{x ( x ^{2} + 2 x + 1 )}

Expand

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

= \frac{5 x ^{2} + 12 x + 3}{x ^{3} + 2 x ^{2} + x}

3 (x + 3) (\frac{10}{x + 3} + \frac{10}{3} = 6)

\frac{r ( 2 + r )}{2}

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

- \frac{4}{e ^{2 x} x ( x - 2 )} - \frac{2}{x + 3}

(1 + i)^{19}

What is expand (5x^2+12x+3)/(x(x+1)^2) ?
The solution to expand (5x^2+12x+3)/(x(x+1)^2) is (5x^2+12x+3)/(x^3+2x^2+x)