vereinfachen 2-(3n)/m+(9n^2-2m^2)/(m^2+2mn)

Lösung

vereinfachen

2 - \frac{3 n}{m} + \frac{9 n ^{2} - 2 m ^{2}}{m ^{2} + 2 mn}

\frac{nm + 3 n ^{2}}{m ( 2 n + m )}

Schritte zur Lösung

2 - \frac{3 n}{m} + \frac{9 n ^{2} - 2 m ^{2}}{m ^{2} + 2 mn}

Füge zusammen:

- \frac{3 n}{m} + \frac{9 n ^{2} - 2 m ^{2}}{m ^{2} + 2 mn} : \frac{- 3 n ( 2 n + m ) + 9 n ^{2} - 2 m ^{2}}{m ( 2 n + m )}

= 2 + \frac{- 3 n ( 2 n + m ) + 9 n ^{2} - 2 m ^{2}}{m ( 2 n + m )}

Wende Bruchregel an:

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

= \frac{2 m ( 2 n + m ) - 3 n ( 2 n + m ) + 9 n ^{2} - 2 m ^{2}}{m ( 2 n + m )}

Vereinfache

2 m (2 n + m) - 3 n (2 n + m) + 9 n^{2} - 2 m^{2} : nm + 3 n^{2}

= \frac{nm + 3 n ^{2}}{m ( 2 n + m )}

\frac{2}{3} x + \frac{3}{2} x \geq \frac{1}{2}

\frac{1}{3} (5 x - 9) = 2 (\frac{1}{3} x + 6)

f a c t or 10 x + x z - 200 y - 20 yz

2 x^{2} + 5 x = 9

s im pl i f y 24 + 54