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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-1)/(x^2+x-2)

simplify

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

\frac{x + 1}{x + 2}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 1

= \frac{x + 1}{x + 2}

(- 2 x - 6)^{2}

((- 1 - 3 \cdot 5) (- 1)^{7})^{\frac{1}{4}}

e^{2 \cdot l n (x)}

23 \cdot 5

(- 2 x^{4})^{3}