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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((x^2-1)(2x+3))/(x^2)

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{2 x ^{3}}{x ^{2}} : 2 x

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

Cancel

\frac{3 x ^{2}}{x ^{2}} : 3

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

Cancel

\frac{2 x}{x ^{2}} : \frac{2}{x}

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

- x + 9 y + 3 z - x + w - 2 y - 2 x + 5 z

\frac{( 10 x + 1 ) ( 10 x - 1 )}{25}

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

\frac{5 ( 1 - n )}{2}

(\cdot + 2 y + 3 z)^{2}

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