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

The solution to expand ((x-1)(x-4))/4 is (x^2)/4-(5x)/4+1

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

expand

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

\frac{x ^{2}}{4} - \frac{5 x}{4} + 1

Solution steps

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

Expand

(x - 1) (x - 4) : x^{2} - 5 x + 4

= \frac{x ^{2} - 5 x + 4}{4}

Apply the fraction rule:

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

\frac{x ^{2} - 5 x + 4}{4} = \frac{x ^{2}}{4} - \frac{5 x}{4} + \frac{4}{4}

= \frac{x ^{2}}{4} - \frac{5 x}{4} + \frac{4}{4}

Apply rule

\frac{a}{a} = 1

\frac{4}{4} = 1

= \frac{x ^{2}}{4} - \frac{5 x}{4} + 1

(x - 1) e^{x^{2} - 4}

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

\frac{10 ( 3 - 6 )}{3}

(x - y - 1) d x + (4 y + x - 1) d y

\frac{8 x + 4}{( 1 - x ) ( x + 2 )}

What is expand ((x-1)(x-4))/4 ?
The solution to expand ((x-1)(x-4))/4 is (x^2)/4-(5x)/4+1