What is expand (7(7acx+12)+24cyx)/(42cx) ?

The solution to expand (7(7acx+12)+24cyx)/(42cx) is (7a)/6+2/(cx)+(4y)/7

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expand (7(7acx+12)+24cyx)/(42cx)

expand

\frac{7 ( 7 a c x + 12 ) + 24 cy x}{42 c x}

\frac{7 a}{6} + \frac{2}{c x} + \frac{4 y}{7}

Solution steps

\frac{7 ( 7 a c x + 12 ) + 24 cy x}{42 c x}

Expand

7 (7 a c x + 12) + 24 cy x : 49 a c x + 84 + 24 cy x

= \frac{49 a c x + 84 + 24 c x y}{42 c x}

Apply the fraction rule:

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

\frac{49 a c x + 84 + 24 cy x}{42 c x} = \frac{49 a c x}{42 c x} + \frac{84}{42 c x} + \frac{24 cy x}{42 c x}

= \frac{49 a c x}{42 c x} + \frac{84}{42 c x} + \frac{24 c x y}{42 c x}

Cancel

\frac{49 a c x}{42 c x} : \frac{7 a}{6}

= \frac{7 a}{6} + \frac{84}{42 c x} + \frac{24 c x y}{42 c x}

Divide the numbers:

\frac{84}{42} = 2

= \frac{7 a}{6} + \frac{2}{c x} + \frac{24 c x y}{42 c x}

Cancel

\frac{24 cy x}{42 c x} : \frac{4 y}{7}

= \frac{7 a}{6} + \frac{2}{c x} + \frac{4 y}{7}

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

\frac{2 x - 1}{x ^{2} ( x + 1 ) ^{3}}

3 c + 6

(x - 3) (x = + 2)

7 (7 a - 14 = 7 (8 a + 2))

What is expand (7(7acx+12)+24cyx)/(42cx) ?
The solution to expand (7(7acx+12)+24cyx)/(42cx) is (7a)/6+2/(cx)+(4y)/7