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

The solution to factor x/(x+1)+x^2-4x is (x(x^2-3x-3))/(x+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x/(x+1)+x^2-4x

factor

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

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

Solution steps

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

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

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

Expand

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

= \frac{x ^{3} - 3 x ^{2} - 3 x}{x + 1}

Factor

x^{3} - 3 x^{2} - 3 x : x (x^{2} - 3 x - 3)

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

15 d y + 10 d - 9 y - 6

- (arctan (x))

\frac{3}{2 + x}

x 2 - 3 x + 10

36 a^{2} b^{4} - 144 d^{8} e^{10}

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