What is expand (21(1-40b-56c))/(16) ?

The solution to expand (21(1-40b-56c))/(16) is 21/16-(105b)/2-(147c)/2

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expand (21(1-40b-56c))/(16)

expand

\frac{21 ( 1 - 40 b - 56 c )}{16}

\frac{21}{16} - \frac{105 b}{2} - \frac{147 c}{2}

Solution steps

\frac{21 ( 1 - 40 b - 56 c )}{16}

Expand

21 (1 - 40 b - 56 c) : 21 - 840 b - 1176 c

= \frac{21 - 840 b - 1176 c}{16}

Apply the fraction rule:

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

\frac{21 - 840 b - 1176 c}{16} = \frac{21}{16} - \frac{840 b}{16} - \frac{1176 c}{16}

= \frac{21}{16} - \frac{840 b}{16} - \frac{1176 c}{16}

Cancel

\frac{840 b}{16} : \frac{105 b}{2}

= \frac{21}{16} - \frac{105 b}{2} - \frac{1176 c}{16}

Cancel

\frac{1176 c}{16} : \frac{147 c}{2}

= \frac{21}{16} - \frac{105 b}{2} - \frac{147 c}{2}

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What is expand (21(1-40b-56c))/(16) ?
The solution to expand (21(1-40b-56c))/(16) is 21/16-(105b)/2-(147c)/2