What is expand ((a-3)(-2-a))/4 ?

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

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expand ((a-3)(-2-a))/4

expand

\frac{( a - 3 ) ( - 2 - a )}{4}

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

Solution steps

\frac{( a - 3 ) ( - 2 - a )}{4}

Expand

(a - 3) (- 2 - a) : a - a^{2} + 6

= \frac{a - a ^{2} + 6}{4}

Apply the fraction rule:

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

\frac{a - a ^{2} + 6}{4} = \frac{a}{4} - \frac{a ^{2}}{4} + \frac{6}{4}

= \frac{a}{4} - \frac{a ^{2}}{4} + \frac{6}{4}

Cancel

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

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

Rewrite in standard form

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

(3 - 1) + (3 - 1) i

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

\frac{15 ( x - 2 ) ^{2}}{2}

δ (x - 5)

(1 + Δ x)^{2}

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