erweitern ((10-x)^2)/(16)+(x^2)/(4pi)

Lösung

erweitern

\frac{( 10 - x ) ^{2}}{16} + \frac{x ^{2}}{4 π}

\frac{25}{4} - \frac{5 x}{4} + \frac{x ^{2}}{16} + \frac{x ^{2}}{4 π}

Schritte zur Lösung

\frac{( 10 - x ) ^{2}}{16} + \frac{x ^{2}}{4 π}

(10 - x)^{2} = 100 - 20 x + x^{2}

= \frac{x ^{2} - 20 x + 100}{16} + \frac{x ^{2}}{4 π}

Wende Bruchregel an:

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

\frac{100 - 20 x + x ^{2}}{16} = \frac{100}{16} - \frac{20 x}{16} + \frac{x ^{2}}{16}

= \frac{100}{16} - \frac{20 x}{16} + \frac{x ^{2}}{16} + \frac{x ^{2}}{4 π}

Streiche

\frac{100}{16} : \frac{25}{4}

= \frac{25}{4} - \frac{20 x}{16} + \frac{x ^{2}}{16} + \frac{x ^{2}}{4 π}

Streiche

\frac{20 x}{16} : \frac{5 x}{4}

= \frac{25}{4} - \frac{5 x}{4} + \frac{x ^{2}}{16} + \frac{x ^{2}}{4 π}

e x p an d (x + Δ x - 1) (x - 1)

e x p an d \frac{( x - 4 ) ^{2}}{2}

s im pl i f y (x - \frac{1}{2}) (x + 3)

e x p an d A (3, 3) B (- 4, - 4)

s im pl i f y (y - a) (y - 3 z + 2 a) (y + 3 z + 2 a)