What is (x^2-9)/(2x^2-6x) ?

The solution to (x^2-9)/(2x^2-6x) is (x+3)/(2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-9)/(2x^2-6x)

simplify

\frac{x ^{2} - 9}{2 x ^{2} - 6 x}

\frac{x + 3}{2 x}

Solution steps

\frac{x ^{2} - 9}{2 x ^{2} - 6 x}

Factor

x^{2} - 9 : (x + 3) (x - 3)

= \frac{( x + 3 ) ( x - 3 )}{2 x ^{2} - 6 x}

Factor

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

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

Cancel the common factor:

x - 3

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

(\frac{x}{2})^{5}

(\cdot + 4)^{2}

1 6^{- 4}

13 x^{2}

- \frac{1}{3} - \frac{4}{5}