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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{6}{2} = 3

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

(x y^{2} + x^{2} y^{2}) d x + x^{2} y d x

\frac{2 ( a + h ) ^{2} - 5 ( a + h ) + 1}{h}

\frac{5 x + 7}{( x - 1 ) ( x ^{2} + x + 2 )}

(- x - 8 y = 4, 9) - (- x - 2 y = 7)

- \frac{2 ( 19 - 1 )}{9}

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