What is expand ((4+x)*(x-1))/2 ?

The solution to expand ((4+x)*(x-1))/2 is (x^2)/2+(3x)/2-2

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expand ((4+x)*(x-1))/2

expand

\frac{( 4 + x ) \cdot ( x - 1 )}{2}

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

Solution steps

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

Expand

(4 + x) (x - 1) : 3 x + x^{2} - 4

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{2} = 2

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

Rewrite in standard form

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

\frac{( x + 1 ) ( x - 3 ) ( x - 5 )}{9}

A (- 5, 1) B (1, - 3)

(x - \frac{b}{2 a})^{2} - b (x - \frac{b}{2 a}) + c

\frac{6 ^{7}}{6 ^{4}}

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

What is expand ((4+x)*(x-1))/2 ?
The solution to expand ((4+x)*(x-1))/2 is (x^2)/2+(3x)/2-2