erweitern (1+a+a^2)(1-a+a^2)'

Lösung

erweitern

(1 + a + a^{2}) (1 - a + a^{2})^{'}

(1 - a + a^{2})' + a (1 - a + a^{2})' + a^{2} (1 - a + a^{2})'

Schritte zur Lösung

(1 + a + a^{2}) (1 - a + a^{2})^{'}

Setze Klammern

= (1 - a + a^{2})^{^{'}} 1 + (1 - a + a^{2})^{^{'}} a + (1 - a + a^{2})^{^{'}} a^{2}

= 1 (1 - a + a^{2})^{^{'}} + a (1 - a + a^{2})^{^{'}} + a^{2} (1 - a + a^{2})^{^{'}}

Multipliziere:

1 (1 - a + a^{2})^{'} = (1 - a + a^{2})^{'}

= (1 - a + a^{2})^{^{'}} + a (1 - a + a^{2})^{^{'}} + a^{2} (1 - a + a^{2})^{^{'}}

e x p an d \frac{8 x ^{3} + 48 x ^{2} + 96 x + 64}{4 x ^{2} + 16 x + 16}

e x p an d \frac{1}{x ( 200 - x )}

e x p an d \frac{124 ! 2 !}{( 124 - 1 ) !}

\frac{d}{df} ((s) (\frac{4 d}{s ^{3}} - \frac{9 x}{s ^{5}}))

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