erweitern (2x(90-2x)+pix^2)/9

Lösung

erweitern

\frac{2 x ( 90 - 2 x ) + π x ^{2}}{9}

20 x - \frac{4 x ^{2}}{9} + \frac{π x ^{2}}{9}

Schritte zur Lösung

\frac{2 x ( 90 - 2 x ) + π x ^{2}}{9}

Multipliziere aus

2 x (90 - 2 x) + π x^{2} : 180 x - 4 x^{2} + π x^{2}

= \frac{180 x - 4 x ^{2} + π x ^{2}}{9}

Wende Bruchregel an:

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

\frac{180 x - 4 x ^{2} + π x ^{2}}{9} = \frac{180 x}{9} - \frac{4 x ^{2}}{9} + \frac{π x ^{2}}{9}

= \frac{180 x}{9} - \frac{4 x ^{2}}{9} + \frac{π x ^{2}}{9}

Teile die Zahlen:

\frac{180}{9} = 20

= 20 x - \frac{4 x ^{2}}{9} + \frac{π x ^{2}}{9}

e x p an d (2 x^{2} + 3 y^{2} - 7) x d x - (3 x^{2} + 2 y^{2} - 8) y d y

e x p an d 2 (1 C + 10 A = 8.25)

e x p an d (1 + e^{t}) (3 - t)

\frac{\partial}{\partial b} ((h) (2^{a} (1 + b)))

e x p an d \frac{( x - 3 ) ^{4} ( x + 4 ) ^{3} ( 2 x + 1 ) ^{2} ( 2 x - 1 ) ^{2}}{16}