What is (6x^2)/(24x^2-192x) ?

The solution to (6x^2)/(24x^2-192x) is x/(4(x-8))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6x^2)/(24x^2-192x)

simplify

\frac{6 x ^{2}}{24 x ^{2} - 192 x}

\frac{x}{4 ( x - 8 )}

Solution steps

\frac{6 x ^{2}}{24 x ^{2} - 192 x}

Factor

24 x^{2} - 192 x : 24 x (x - 8)

= \frac{6 x ^{2}}{24 x ( x - 8 )}

Factor the number:

24 = 6 \cdot 4

= \frac{6 x ^{2}}{6 \cdot 4 x ( x - 8 )}

Cancel the common factor:

6

= \frac{x ^{2}}{4 x ( x - 8 )}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{xx}{4 x ( x - 8 )}

Cancel the common factor:

x

= \frac{x}{4 ( x - 8 )}

f (\frac{1}{2})

ln (e^{11})

(b - 9) (b + 3)

(2)^{2} + (3)^{2}

\frac{( 6 x ^{2} + 16 x + 8 )}{( 3 x + 2 )}