What is expand ((Y-((X+1)*4)))/X ?

The solution to expand ((Y-((X+1)*4)))/X is Y/X-4-4/X

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expand ((Y-((X+1)*4)))/X

expand

\frac{( Y - ( ( X + 1 ) \cdot 4 ) )}{X}

\frac{Y}{X} - 4 - \frac{4}{X}

Solution steps

\frac{Y - ( ( X + 1 ) \cdot 4 )}{X}

Remove parentheses:

(a) = a

= \frac{Y - ( X + 1 ) \cdot 4}{X}

Expand

Y - (X + 1) \cdot 4 : Y - 4 X - 4

= \frac{Y - 4 X - 4}{X}

Apply the fraction rule:

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

\frac{Y - 4 X - 4}{X} = \frac{Y}{X} - \frac{4 X}{X} - \frac{4}{X}

= \frac{Y}{X} - \frac{4 X}{X} - \frac{4}{X}

Cancel

\frac{4 X}{X} : 4

= \frac{Y}{X} - 4 - \frac{4}{X}

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What is expand ((Y-((X+1)*4)))/X ?
The solution to expand ((Y-((X+1)*4)))/X is Y/X-4-4/X