What is (6x^2+x-2)/(2x^2+3x-2) ?

The solution to (6x^2+x-2)/(2x^2+3x-2) is (3x+2)/(x+2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6x^2+x-2)/(2x^2+3x-2)

simplify

\frac{6 x ^{2} + x - 2}{2 x ^{2} + 3 x - 2}

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

Solution steps

\frac{6 x ^{2} + x - 2}{2 x ^{2} + 3 x - 2}

Factor

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

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

Factor

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

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

Cancel the common factor:

2 x - 1

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

\frac{1.999 - 2}{1.99 9 ^{2} - 4}

(3 a^{3} b^{2}) (a^{2} b^{4})^{2}

\frac{5}{1 + 5}

12 + (- 9)

(3 x)^{- 4}

What is (6x^2+x-2)/(2x^2+3x-2) ?
The solution to (6x^2+x-2)/(2x^2+3x-2) is (3x+2)/(x+2)