What is expand ((x-2)(x-4))/4 ?

The solution to expand ((x-2)(x-4))/4 is (x^2)/4-(3x)/2+2

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expand ((x-2)(x-4))/4

expand

\frac{( x - 2 ) ( x - 4 )}{4}

\frac{x ^{2}}{4} - \frac{3 x}{2} + 2

Solution steps

\frac{( x - 2 ) ( x - 4 )}{4}

Expand

(x - 2) (x - 4) : x^{2} - 6 x + 8

= \frac{x ^{2} - 6 x + 8}{4}

Apply the fraction rule:

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

\frac{x ^{2} - 6 x + 8}{4} = \frac{x ^{2}}{4} - \frac{6 x}{4} + \frac{8}{4}

= \frac{x ^{2}}{4} - \frac{6 x}{4} + \frac{8}{4}

Cancel

\frac{6 x}{4} : \frac{3 x}{2}

= \frac{x ^{2}}{4} - \frac{3 x}{2} + \frac{8}{4}

Divide the numbers:

\frac{8}{4} = 2

= \frac{x ^{2}}{4} - \frac{3 x}{2} + 2

- \frac{( - x + 2 ) ^{2}}{4}

- \frac{2 s ( - s ^{2} - 27 )}{( s ^{2} - 9 ) ^{3}}

2 (\frac{x ^{2}}{2} + t^{2} + t = c)

(25 - \frac{25 π}{4}) 2

100 (1 - e^{- 0.07 t})

What is expand ((x-2)(x-4))/4 ?
The solution to expand ((x-2)(x-4))/4 is (x^2)/4-(3x)/2+2