What is expand (135(75*5^{1/3}-27*3^{1/3})-14)/(105) ?

The solution to expand (135(75*5^{1/3}-27*3^{1/3})-14)/(105) is (675*5^{1/3})/7-(243*3^{1/3})/7-2/15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (135(755^{1/3}-273^{1/3})-14)/(105)

expand

\frac{135 ( 75 \cdot 5 ^{\frac{1}{3}} - 27 \cdot 3 ^{\frac{1}{3}} ) - 14}{105}

\frac{675 \cdot 5 ^{\frac{1}{3}}}{7} - \frac{243 \cdot 3 ^{\frac{1}{3}}}{7} - \frac{2}{15}

Decimal Notation

114.69054 \dots

Solution steps

\frac{135 ( 75 \cdot 5 ^{\frac{1}{3}} - 27 \cdot 3 ^{\frac{1}{3}} ) - 14}{105}

Expand

135 (75 \cdot 5^{\frac{1}{3}} - 27 \cdot 3^{\frac{1}{3}}) - 14 : 10125 \cdot 5^{\frac{1}{3}} - 3645 \cdot 3^{\frac{1}{3}} - 14

= \frac{10125 \cdot 5 ^{\frac{1}{3}} - 3645 \cdot 3 ^{\frac{1}{3}} - 14}{105}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{10125 \cdot 5 ^{\frac{1}{3}} - 3645 \cdot 3 ^{\frac{1}{3}} - 14}{105} = \frac{10125 \cdot 5 ^{\frac{1}{3}}}{105} - \frac{3645 \cdot 3 ^{\frac{1}{3}}}{105} - \frac{14}{105}

= \frac{10125 \cdot 5 ^{\frac{1}{3}}}{105} - \frac{3645 \cdot 3 ^{\frac{1}{3}}}{105} - \frac{14}{105}

Cancel

\frac{10125 \cdot 5 ^{\frac{1}{3}}}{105} : \frac{675 \cdot 5 ^{\frac{1}{3}}}{7}

= \frac{675 \cdot 5 ^{\frac{1}{3}}}{7} - \frac{3645 \cdot 3 ^{\frac{1}{3}}}{105} - \frac{14}{105}

Cancel

\frac{3645 \cdot 3 ^{\frac{1}{3}}}{105} : \frac{243 \cdot 3 ^{\frac{1}{3}}}{7}

= \frac{675 \cdot 5 ^{\frac{1}{3}}}{7} - \frac{243 \cdot 3 ^{\frac{1}{3}}}{7} - \frac{14}{105}

Cancel

\frac{14}{105} : \frac{2}{15}

= \frac{675 \cdot 5 ^{\frac{1}{3}}}{7} - \frac{243 \cdot 3 ^{\frac{1}{3}}}{7} - \frac{2}{15}

\frac{( s - 4 )}{( s + 1 ) ( s + 2 )}

e^{9 x + 11 y - x^{2} - y^{2} - 33} (- 2 x + 9)

sin ((3 x + 5)^{4})

(e^{t} \cdot sin (3 t) + e^{t} \cdot cos (3 t))^{2}

\frac{4 ( 9 ^{20} - 8 ^{20} )}{3 ^{38}}

What is expand (135(75*5^{1/3}-27*3^{1/3})-14)/(105) ?
The solution to expand (135(75*5^{1/3}-27*3^{1/3})-14)/(105) is (675*5^{1/3})/7-(243*3^{1/3})/7-2/15