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

The solution to expand ((x-6)(x-3))/4 is (x^2)/4-(9x)/4+9/2

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expand ((x-6)(x-3))/4

expand

\frac{( x - 6 ) ( x - 3 )}{4}

\frac{x ^{2}}{4} - \frac{9 x}{4} + \frac{9}{2}

Solution steps

\frac{( x - 6 ) ( x - 3 )}{4}

Expand

(x - 6) (x - 3) : x^{2} - 9 x + 18

= \frac{x ^{2} - 9 x + 18}{4}

Apply the fraction rule:

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

\frac{x ^{2} - 9 x + 18}{4} = \frac{x ^{2}}{4} - \frac{9 x}{4} + \frac{18}{4}

= \frac{x ^{2}}{4} - \frac{9 x}{4} + \frac{18}{4}

Cancel

\frac{18}{4} : \frac{9}{2}

= \frac{x ^{2}}{4} - \frac{9 x}{4} + \frac{9}{2}

(g \circ h) (z - 7)

4 (y - 1)^{2} e^{2 x}

(x + 3) e^{3}

\frac{( e ^{(2 z)} )}{( z - 1 ) ^{3}}

e^{\frac{π ( i - 1 )}{3}}

What is expand ((x-6)(x-3))/4 ?
The solution to expand ((x-6)(x-3))/4 is (x^2)/4-(9x)/4+9/2