erweitern ((3x+12y)(3x+28y))/(16)

Lösung

erweitern

\frac{( 3 x + 12 y ) ( 3 x + 28 y )}{16}

\frac{9 x ^{2}}{16} + \frac{15 x y}{2} + 21 y^{2}

Schritte zur Lösung

\frac{( 3 x + 12 y ) ( 3 x + 28 y )}{16}

Multipliziere aus

(3 x + 12 y) (3 x + 28 y) : 9 x^{2} + 120 x y + 336 y^{2}

= \frac{9 x ^{2} + 120 x y + 336 y ^{2}}{16}

Wende Bruchregel an:

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

\frac{9 x ^{2} + 120 x y + 336 y ^{2}}{16} = \frac{9 x ^{2}}{16} + \frac{120 x y}{16} + \frac{336 y ^{2}}{16}

= \frac{9 x ^{2}}{16} + \frac{120 x y}{16} + \frac{336 y ^{2}}{16}

Streiche

\frac{120 x y}{16} : \frac{15 x y}{2}

= \frac{9 x ^{2}}{16} + \frac{15 x y}{2} + \frac{336 y ^{2}}{16}

Teile die Zahlen:

\frac{336}{16} = 21

= \frac{9 x ^{2}}{16} + \frac{15 x y}{2} + 21 y^{2}

e x p an d e^{y} (- e^{- y} y - e^{- y})

e x p an d \frac{i wl}{R ( 1 - w ^{2} l c ) + i wl}

e x p an d f^{(4)} 6 (6 ln (5 x) + 11)

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

e x p an d x^{q (1 - q)}