What is expand ((3-x)(2-x))/2 ?

The solution to expand ((3-x)(2-x))/2 is (x^2)/2-(5x)/2+3

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expand ((3-x)(2-x))/2

expand

\frac{( 3 - x ) ( 2 - x )}{2}

\frac{x ^{2}}{2} - \frac{5 x}{2} + 3

Solution steps

\frac{( 3 - x ) ( 2 - x )}{2}

Expand

(3 - x) (2 - x) : 6 - 5 x + x^{2}

= \frac{6 - 5 x + x ^{2}}{2}

Apply the fraction rule:

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

\frac{6 - 5 x + x ^{2}}{2} = \frac{6}{2} - \frac{5 x}{2} + \frac{x ^{2}}{2}

= \frac{6}{2} - \frac{5 x}{2} + \frac{x ^{2}}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3 - \frac{5 x}{2} + \frac{x ^{2}}{2}

Rewrite in standard form

= \frac{x ^{2}}{2} - \frac{5 x}{2} + 3

2 sec (x) (tan (x) + sec (x))

(- 2 + 6 - x)^{2}

\frac{x + 2 ( 3 - x ) ^{4}}{( x + 1 ) ^{5}}

\frac{50}{( s + 2 ) ^{2}}

\frac{6}{( x + 2 ) ^{3}}

What is expand ((3-x)(2-x))/2 ?
The solution to expand ((3-x)(2-x))/2 is (x^2)/2-(5x)/2+3