erweitern ((20+3t)^2)/(25)

Lösung

erweitern

\frac{( 20 + 3 t ) ^{2}}{25}

\frac{9 t ^{2}}{25} + \frac{24 t}{5} + 16

Schritte zur Lösung

\frac{( 20 + 3 t ) ^{2}}{25}

(20 + 3 t)^{2} = 400 + 120 t + 9 t^{2}

= \frac{400 + 120 t + 9 t ^{2}}{25}

Wende Bruchregel an:

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

\frac{400 + 120 t + 9 t ^{2}}{25} = \frac{400}{25} + \frac{120 t}{25} + \frac{9 t ^{2}}{25}

= \frac{400}{25} + \frac{120 t}{25} + \frac{9 t ^{2}}{25}

Teile die Zahlen:

\frac{400}{25} = 16

= 16 + \frac{120 t}{25} + \frac{9 t ^{2}}{25}

Streiche

\frac{120 t}{25} : \frac{24 t}{5}

= 16 + \frac{24 t}{5} + \frac{9 t ^{2}}{25}

Rewrite in standard form

= \frac{9 t ^{2}}{25} + \frac{24 t}{5} + 16

e x p an d (1 - cos (x)) sin (x) [0, π]

e x p an d e^{t} \cdot (6 e^{t} - 8 t e^{t})

e x p an d \frac{8 ( 2 x + 1 ) ( x + 1 )}{3 x ^{2}}

e x p an d (x - 2 y = 6, 3) (x - 6 y = 18)

e x p an d \frac{5 ( 11257 - 75 )}{64}