erweitern (t^2+(t^2)^2,4tt^2)(1,2t)

Lösung

erweitern

(t^{2} + (t^{2})^{2}, 4 t \cdot t^{2}) \cdot (1, 2 t)

t^{2} (1 \cdot 2, t) + (t^{2})^{2} (1 \cdot 2, t), 4 t^{2} t

Schritte zur Lösung

(t^{2} + (t^{2})^{2}, 4 t t^{2}) (1, 2 t)

= (t^{2} + 4, t^{2} t (t^{2})^{2}) (1 \cdot 2, t)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = (1, 2 t), b = t^{2}, c = (t^{2})^{2}, 4 t t^{2}

= (1, 2 t) t^{2} + (1, 2 t) (t^{2})^{2}, 4 t t^{2}

= t^{2} (1 \cdot 2, t) + (t^{2})^{2} (1 \cdot 2, t), 4 t^{2} t

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

e x p an d - (1 + 2) x

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

e x p an d \frac{8 x ^{3} + 29 x ^{2} + 28 x - 1}{( x + 1 ) ^{2} ( x ^{2} + 2 x - 1 )}

e x p an d 6 lo g_{x} (2) (3 lo g_{2} (x) + 100 lo g_{x} (2))