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

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

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

expand

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

\frac{x ^{2}}{4} - \frac{x}{4} - \frac{1}{2}

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{2}{4} : \frac{1}{2}

= \frac{x ^{2}}{4} - \frac{x}{4} - \frac{1}{2}

(x^{2} + 4 x y - 1) d x + (2 x^{2} - 2)

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

\frac{2 ( x + h ) + 1}{3 ( x + h ) + 5}

(- 9 e^{- x}) (x^{2} - 9)

3 \cdot 0^{2} + x + 1

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