erweitern (8t^7,5t^3,-4t^3)left(1,2t,3t^2)

Lösung

erweitern

(8 t^{7}, 5 t^{3}, - 4 t^{3}) l e f t (1, 2 t, 3 t^{2})

8 e l t^{7} t f (1 \cdot 2 \cdot 3,, t^{2} t), 5 t^{3}, - 4 e l t^{3} t f (1 \cdot 2 \cdot 3,, t^{2} t)

Schritte zur Lösung

(8 t^{7}, 5 t^{3}, - 4 t^{3}) l e f t (1, 2 t, 3 t^{2})

= e lt f (8 \cdot 5,, t^{7} t^{3} - 4 t^{3}) (1 \cdot 2 \cdot 3,, t^{2} t)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = l e f t (1, 2 t, 3 t^{2}), b = 8 t^{7}, 5 t^{3},, c = 4 t^{3}

= l e f t (1, 2 t, 3 t^{2}) \cdot 8 t^{7}, 5 t^{3}, - l e f t (1, 2 t, 3 t^{2}) \cdot 4 t^{3}

= 8 e l t^{7} t f (1 \cdot 2 \cdot 3,, t^{2} t), 5 t^{3}, - 4 e l t^{3} t f (1 \cdot 2 \cdot 3,, t^{2} t)

e x p an d \frac{4 ( 6 x ^{2} - 3 )}{( 2 x ^{3} + 3 x ) ^{2}}

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

e x p an d 5 (1)^{2} + 8 (1) z - 44 (1) + 5 z^{2} - 46 z + 104

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

e x p an d, (x - 1 r i g h t)