What is expand ((x+7)(x-1))/4 ?

The solution to expand ((x+7)(x-1))/4 is (x^2)/4+(3x)/2-7/4

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expand ((x+7)(x-1))/4

expand

\frac{( x + 7 ) ( x - 1 )}{4}

\frac{x ^{2}}{4} + \frac{3 x}{2} - \frac{7}{4}

Solution steps

\frac{( x + 7 ) ( x - 1 )}{4}

Expand

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

= \frac{x ^{2} + 6 x - 7}{4}

Apply the fraction rule:

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

\frac{x ^{2} + 6 x - 7}{4} = \frac{x ^{2}}{4} + \frac{6 x}{4} - \frac{7}{4}

= \frac{x ^{2}}{4} + \frac{6 x}{4} - \frac{7}{4}

Cancel

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

= \frac{x ^{2}}{4} + \frac{3 x}{2} - \frac{7}{4}

(6 - x) e^{x}

(i + 1)^{5}

(4 x + 3 - 2 x) (2 x - 9 - 6 - x)

e^{3 x} (e^{3 x} + 3 x e^{3 x})

What is expand ((x+7)(x-1))/4 ?
The solution to expand ((x+7)(x-1))/4 is (x^2)/4+(3x)/2-7/4