What is (x^2-36)/(7x^2-42x) ?

The solution to (x^2-36)/(7x^2-42x) is (x+6)/(7x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-36)/(7x^2-42x)

simplify

\frac{x ^{2} - 36}{7 x ^{2} - 42 x}

\frac{x + 6}{7 x}

Solution steps

\frac{x ^{2} - 36}{7 x ^{2} - 42 x}

Factor

x^{2} - 36 : (x + 6) (x - 6)

= \frac{( x + 6 ) ( x - 6 )}{7 x ^{2} - 42 x}

Factor

7 x^{2} - 42 x : 7 x (x - 6)

= \frac{( x + 6 ) ( x - 6 )}{7 x ( x - 6 )}

Cancel the common factor:

x - 6

= \frac{x + 6}{7 x}

(- 4 x) (10 x^{3})

- 6 x^{2} + 4 x + 2 x + 7 x^{2} - x^{2}

4.2

- \frac{5}{- 1}

\frac{50}{40}