What is expand (m(y+2m+12))/(2n) ?

The solution to expand (m(y+2m+12))/(2n) is (my}{2n}+\frac{m^2)/n+(6m)/n

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expand (m(y+2m+12))/(2n)

expand

\frac{m ( y + 2 m + 12 )}{2 n}

\frac{m y}{2 n} + \frac{m ^{2}}{n} + \frac{6 m}{n}

Solution steps

\frac{m ( y + 2 m + 12 )}{2 n}

Expand

m (y + 2 m + 12) : m y + 2 m^{2} + 12 m

= \frac{m y + 2 m ^{2} + 12 m}{2 n}

Apply the fraction rule:

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

\frac{m y + 2 m ^{2} + 12 m}{2 n} = \frac{m y}{2 n} + \frac{2 m ^{2}}{2 n} + \frac{12 m}{2 n}

= \frac{m y}{2 n} + \frac{2 m ^{2}}{2 n} + \frac{12 m}{2 n}

Divide the numbers:

\frac{2}{2} = 1

= \frac{m y}{2 n} + \frac{m ^{2}}{n} + \frac{12 m}{2 n}

Divide the numbers:

\frac{12}{2} = 6

= \frac{m y}{2 n} + \frac{m ^{2}}{n} + \frac{6 m}{n}

\frac{6}{( 6 x + 1 ) ^{2}}

\frac{3 s ^{2}}{( s ^{2} + 1 ) ^{2}}

+ (- x sin (y)) (y + d y)

\frac{x}{( x - 7 ) ( x + 2 )}

3 (2 x + 4 = 54)

What is expand (m(y+2m+12))/(2n) ?
The solution to expand (m(y+2m+12))/(2n) is (my}{2n}+\frac{m^2)/n+(6m)/n