erweitern ((4p+3)(p+10))/(p^2)

Lösung

erweitern

\frac{( 4 p + 3 ) ( p + 10 )}{p ^{2}}

4 + \frac{43}{p} + \frac{30}{p ^{2}}

Schritte zur Lösung

\frac{( 4 p + 3 ) ( p + 10 )}{p ^{2}}

Multipliziere aus

(4 p + 3) (p + 10) : 4 p^{2} + 43 p + 30

= \frac{4 p ^{2} + 43 p + 30}{p ^{2}}

Wende Bruchregel an:

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

\frac{4 p ^{2} + 43 p + 30}{p ^{2}} = \frac{4 p ^{2}}{p ^{2}} + \frac{43 p}{p ^{2}} + \frac{30}{p ^{2}}

= \frac{4 p ^{2}}{p ^{2}} + \frac{43 p}{p ^{2}} + \frac{30}{p ^{2}}

Streiche

\frac{4 p ^{2}}{p ^{2}} : 4

= 4 + \frac{43 p}{p ^{2}} + \frac{30}{p ^{2}}

Streiche

\frac{43 p}{p ^{2}} : \frac{43}{p}

= 4 + \frac{43}{p} + \frac{30}{p ^{2}}

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