erweitern ((0.0476)(x^2+11.22x+31.5))/x

Lösung

erweitern

\frac{( 0.0476 ) ( x ^{2} + 11.22 x + 31.5 )}{x}

0.0476 x + 0.534072 + \frac{1.4994}{x}

Schritte zur Lösung

\frac{( 0.0476 ) ( x ^{2} + 11.22 x + 31.5 )}{x}

Entferne die Klammern:

(a) = a

= \frac{0.0476 ( x ^{2} + 11.22 x + 31.5 )}{x}

Multipliziere aus

0.0476 (x^{2} + 11.22 x + 31.5) : 0.0476 x^{2} + 0.534072 x + 1.4994

= \frac{0.0476 x ^{2} + 0.534072 x + 1.4994}{x}

Wende Bruchregel an:

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

\frac{0.0476 x ^{2} + 0.534072 x + 1.4994}{x} = \frac{0.0476 x ^{2}}{x} + \frac{0.534072 x}{x} + \frac{1.4994}{x}

= \frac{0.0476 x ^{2}}{x} + \frac{0.534072 x}{x} + \frac{1.4994}{x}

Streiche

\frac{0.0476 x ^{2}}{x} : 0.0476 x

= 0.0476 x + \frac{0.534072 x}{x} + \frac{1.4994}{x}

Streiche

\frac{0.534072 x}{x} : 0.534072

= 0.0476 x + 0.534072 + \frac{1.4994}{x}

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