What is expand ((x+7)(x-1))/2 ?

The solution to expand ((x+7)(x-1))/2 is (x^2)/2+3x-7/2

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expand ((x+7)(x-1))/2

expand

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

\frac{x ^{2}}{2} + 3 x - \frac{7}{2}

Solution steps

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

Expand

(x + 7) (x - 1) : x^{2} + 6 x - 7

= \frac{x ^{2} + 6 x - 7}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 6 x - 7}{2} = \frac{x ^{2}}{2} + \frac{6 x}{2} - \frac{7}{2}

= \frac{x ^{2}}{2} + \frac{6 x}{2} - \frac{7}{2}

Divide the numbers:

\frac{6}{2} = 3

= \frac{x ^{2}}{2} + 3 x - \frac{7}{2}

10 (11 - 7)

\frac{12 x ^{2} y ^{2} ( 2 y z ^{2} + 3 x z - 4 x ^{2} y )}{z ^{4}}

lo g_{10} (9) x^{3}

(i + 1)^{7}

\frac{d x}{( 7 x + 3 ) ^{3}}

What is expand ((x+7)(x-1))/2 ?
The solution to expand ((x+7)(x-1))/2 is (x^2)/2+3x-7/2