What is (x^2-4)/(5x)*(30)/(3x-6) ?

The solution to (x^2-4)/(5x)*(30)/(3x-6) is (2(x+2))/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-4)/(5x)*(30)/(3x-6)

simplify

\frac{x ^{2} - 4}{5 x} \cdot \frac{30}{3 x - 6}

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

Solution steps

\frac{x ^{2} - 4}{5 x} \cdot \frac{30}{3 x - 6}

Cancel

\frac{30}{3 x - 6} : \frac{10}{x - 2}

= \frac{x ^{2} - 4}{5 x} \cdot \frac{10}{x - 2}

Apply the fraction rule:

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

= \frac{( x ^{2} - 4 ) \cdot 10}{5 x ( x - 2 )}

Factor the number:

10 = 5 \cdot 2

= \frac{( x ^{2} - 4 ) \cdot 5 \cdot 2}{5 x ( x - 2 )}

Cancel the common factor:

5

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

Factor

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

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

Cancel the common factor:

x - 2

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

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

8 \cdot 8 \cdot 8 \cdot 8

\frac{cot ( θ )}{csc ( θ ) - sin ( θ )}

2024

\frac{8 24}{2 48}

7 - (\frac{2110}{( 124 - 23 )})^{2} - 6 (1 - 19 - 33)

What is (x^2-4)/(5x)*(30)/(3x-6) ?
The solution to (x^2-4)/(5x)*(30)/(3x-6) is (2(x+2))/x