erweitern (5(2-x^2)^2)/2

Lösung

erweitern

\frac{5 ( 2 - x ^{2} ) ^{2}}{2}

\frac{5 x ^{4}}{2} - 10 x^{2} + 10

Schritte zur Lösung

\frac{5 ( 2 - x ^{2} ) ^{2}}{2}

(2 - x^{2})^{2} = 4 - 4 x^{2} + x^{4}

= \frac{5 ( x ^{4} - 4 x ^{2} + 4 )}{2}

Multipliziere aus

5 (4 - 4 x^{2} + x^{4}) : 20 - 20 x^{2} + 5 x^{4}

= \frac{20 - 20 x ^{2} + 5 x ^{4}}{2}

Wende Bruchregel an:

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

\frac{20 - 20 x ^{2} + 5 x ^{4}}{2} = \frac{20}{2} - \frac{20 x ^{2}}{2} + \frac{5 x ^{4}}{2}

= \frac{20}{2} - \frac{20 x ^{2}}{2} + \frac{5 x ^{4}}{2}

Teile die Zahlen:

\frac{20}{2} = 10

= 10 - 10 x^{2} + \frac{5 x ^{4}}{2}

Rewrite in standard form

= \frac{5 x ^{4}}{2} - 10 x^{2} + 10

e x p an d 7 x - 1 \cdot (x - 1)^{7}

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

e x p an d (x - 9) x + 6

e x p an d (e^{2 x} + 4)^{2}

s im pl i f y 2 (cos (t)) (1 - t) (7 - t^{3})