erweitern (5(-y^2z+6a))/(y^2)

Lösung

erweitern

\frac{5 ( - y ^{2} z + 6 a )}{y ^{2}}

- 5 z + \frac{30 a}{y ^{2}}

Schritte zur Lösung

\frac{5 ( - y ^{2} z + 6 a )}{y ^{2}}

Multipliziere aus

5 (- y^{2} z + 6 a) : - 5 y^{2} z + 30 a

= \frac{- 5 y ^{2} z + 30 a}{y ^{2}}

Wende Bruchregel an:

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

\frac{- 5 y ^{2} z + 30 a}{y ^{2}} = - \frac{5 y ^{2} z}{y ^{2}} + \frac{30 a}{y ^{2}}

= - \frac{5 y ^{2} z}{y ^{2}} + \frac{30 a}{y ^{2}}

Streiche

\frac{5 y ^{2} z}{y ^{2}} : 5 z

= - 5 z + \frac{30 a}{y ^{2}}

e x p an d \frac{10 x + 24}{x ( x + 6 )}

e x p an d (\cdot + 4) (y + 2)

e x p an d \frac{2}{( y - 1 ) ^{2}}

e x p an d \frac{3 x ^{2} - 5}{3 ( x + h ) ^{2} - 5}

e x p an d 3 (1 - cos (x) = (sin^{2} (x)))