What is expand ((1-2x)(3-4y))/6 ?

The solution to expand ((1-2x)(3-4y))/6 is 1/2-(2y)/3-x+(4xy)/3

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expand ((1-2x)(3-4y))/6

expand

\frac{( 1 - 2 x ) ( 3 - 4 y )}{6}

\frac{1}{2} - \frac{2 y}{3} - x + \frac{4 x y}{3}

Solution steps

\frac{( 1 - 2 x ) ( 3 - 4 y )}{6}

Expand

(1 - 2 x) (3 - 4 y) : 3 - 4 y - 6 x + 8 x y

= \frac{3 - 4 y - 6 x + 8 x y}{6}

Apply the fraction rule:

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

\frac{3 - 4 y - 6 x + 8 x y}{6} = \frac{3}{6} - \frac{4 y}{6} - \frac{6 x}{6} + \frac{8 x y}{6}

= \frac{3}{6} - \frac{4 y}{6} - \frac{6 x}{6} + \frac{8 x y}{6}

\frac{3}{6} = \frac{1}{2}

\frac{4 y}{6} = \frac{2 y}{3}

\frac{6 x}{6} = x

\frac{8 x y}{6} = \frac{4 x y}{3}

= \frac{1}{2} - \frac{2 y}{3} - x + \frac{4 x y}{3}

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

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

\frac{( ( n ^{2} x ^{2} - 2 ) sin ( n x ) + 2 n x cos ( n x ) )}{n ^{3}}

\frac{- 5 z ^{2} - 10 i z + 6}{( z + i ) ^{3}} + 8

80 (e^{- t} - e^{- 2 t})

What is expand ((1-2x)(3-4y))/6 ?
The solution to expand ((1-2x)(3-4y))/6 is 1/2-(2y)/3-x+(4xy)/3