What is expand (z(65a^3b^5-174c^2x))/(1885a^2b^3c) ?

The solution to expand (z(65a^3b^5-174c^2x))/(1885a^2b^3c) is (ab^2z)/(29c)-(6czx)/(65a^2b^3)

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expand (z(65a^3b^5-174c^2x))/(1885a^2b^3c)

expand

\frac{z ( 65 a ^{3} b ^{5} - 174 c ^{2} x )}{1885 a ^{2} b ^{3} c}

\frac{a b ^{2} z}{29 c} - \frac{6 cz x}{65 a ^{2} b ^{3}}

Solution steps

\frac{z ( 65 a ^{3} b ^{5} - 174 c ^{2} x )}{1885 a ^{2} b ^{3} c}

Expand

z (65 a^{3} b^{5} - 174 c^{2} x) : 65 a^{3} b^{5} z - 174 c^{2} z x

= \frac{65 a ^{3} b ^{5} z - 174 c ^{2} z x}{1885 a ^{2} b ^{3} c}

Apply the fraction rule:

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

\frac{65 a ^{3} b ^{5} z - 174 c ^{2} z x}{1885 a ^{2} b ^{3} c} = \frac{65 a ^{3} b ^{5} z}{1885 a ^{2} b ^{3} c} - \frac{174 c ^{2} z x}{1885 a ^{2} b ^{3} c}

= \frac{65 a ^{3} b ^{5} z}{1885 a ^{2} b ^{3} c} - \frac{174 c ^{2} z x}{1885 a ^{2} b ^{3} c}

Cancel

\frac{65 a ^{3} b ^{5} z}{1885 a ^{2} b ^{3} c} : \frac{a b ^{2} z}{29 c}

= \frac{a b ^{2} z}{29 c} - \frac{174 c ^{2} z x}{1885 a ^{2} b ^{3} c}

Cancel

\frac{174 c ^{2} z x}{1885 a ^{2} b ^{3} c} : \frac{6 cz x}{65 a ^{2} b ^{3}}

= \frac{a b ^{2} z}{29 c} - \frac{6 cz x}{65 a ^{2} b ^{3}}

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What is expand (z(65a^3b^5-174c^2x))/(1885a^2b^3c) ?
The solution to expand (z(65a^3b^5-174c^2x))/(1885a^2b^3c) is (ab^2z)/(29c)-(6czx)/(65a^2b^3)