What is (\frac{x^2-4)/(x-2)}{(x+2)/(x-2)} ?

The solution to (\frac{x^2-4)/(x-2)}{(x+2)/(x-2)} is x-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

x - 2

Solution steps

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

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

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

Cancel the common factor:

x - 2

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

Factor

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

= \frac{( x + 2 ) ( x - 2 )}{x + 2}

Cancel the common factor:

x + 2

= x - 2

- (2 x)^{3}

9 - (5 x + 4) - x + 6

(5 + 6 i) - (10 - 9 i)

13 (4)

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

What is (\frac{x^2-4)/(x-2)}{(x+2)/(x-2)} ?
The solution to (\frac{x^2-4)/(x-2)}{(x+2)/(x-2)} is x-2