erweitern ((x-5)(x-10))/(50)

Lösung

erweitern

\frac{( x - 5 ) ( x - 10 )}{50}

\frac{x ^{2}}{50} - \frac{3 x}{10} + 1

Schritte zur Lösung

\frac{( x - 5 ) ( x - 10 )}{50}

Multipliziere aus

(x - 5) (x - 10) : x^{2} - 15 x + 50

= \frac{x ^{2} - 15 x + 50}{50}

Wende Bruchregel an:

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

\frac{x ^{2} - 15 x + 50}{50} = \frac{x ^{2}}{50} - \frac{15 x}{50} + \frac{50}{50}

= \frac{x ^{2}}{50} - \frac{15 x}{50} + \frac{50}{50}

Wende Regel an

\frac{a}{a} = 1

\frac{50}{50} = 1

= \frac{x ^{2}}{50} - \frac{15 x}{50} + 1

Streiche

\frac{15 x}{50} : \frac{3 x}{10}

= \frac{x ^{2}}{50} - \frac{3 x}{10} + 1

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