erweitern (73(x+7y)^2)/(50)

Lösung

erweitern

\frac{73 ( x + 7 y ) ^{2}}{50}

\frac{73 x ^{2}}{50} + \frac{511 x y}{25} + \frac{3577 y ^{2}}{50}

Schritte zur Lösung

\frac{73 ( x + 7 y ) ^{2}}{50}

(x + 7 y)^{2} = x^{2} + 14 x y + 49 y^{2}

= \frac{73 ( x ^{2} + 14 x y + 49 y ^{2} )}{50}

Multipliziere aus

73 (x^{2} + 14 x y + 49 y^{2}) : 73 x^{2} + 1022 x y + 3577 y^{2}

= \frac{73 x ^{2} + 1022 x y + 3577 y ^{2}}{50}

Wende Bruchregel an:

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

\frac{73 x ^{2} + 1022 x y + 3577 y ^{2}}{50} = \frac{73 x ^{2}}{50} + \frac{1022 x y}{50} + \frac{3577 y ^{2}}{50}

= \frac{73 x ^{2}}{50} + \frac{1022 x y}{50} + \frac{3577 y ^{2}}{50}

Streiche

\frac{1022 x y}{50} : \frac{511 x y}{25}

= \frac{73 x ^{2}}{50} + \frac{511 x y}{25} + \frac{3577 y ^{2}}{50}

e x p an d \frac{x}{x ^{2} + x h}

e x p an d lo g_{2 (x - 1)} (x)

e x p an d ((e^{x}) (x^{2})) (x + 2)

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

e x p an d e^{θ x} + e^{- y (θ - 1)}