erweitern (x^4-4x^3+6x^2-(a+2)x+(b+3))/(x^2+2x+1)

Lösung

erweitern

\frac{x ^{4} - 4 x ^{3} + 6 x ^{2} - ( a + 2 ) x + ( b + 3 )}{x ^{2} + 2 x + 1}

\frac{x ^{4} - 4 x ^{3} + 6 x ^{2} - a x - 2 x + b + 3}{x ^{2} + 2 x + 1}

Schritte zur Lösung

\frac{x ^{4} - 4 x ^{3} + 6 x ^{2} - ( a + 2 ) x + ( b + 3 )}{x ^{2} + 2 x + 1}

Entferne die Klammern:

(a) = a

= \frac{x ^{4} - 4 x ^{3} + 6 x ^{2} - ( a + 2 ) x + b + 3}{x ^{2} + 2 x + 1}

Multipliziere aus

x^{4} - 4 x^{3} + 6 x^{2} - (a + 2) x + b + 3 : x^{4} - 4 x^{3} + 6 x^{2} - a x - 2 x + b + 3

= \frac{x ^{4} - 4 x ^{3} + 6 x ^{2} - a x - 2 x + b + 3}{x ^{2} + 2 x + 1}

e x p an d - 2 x \cdot (3 x^{4}) - 11 x

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

e x p an d cos (4 (t + 5))

e x p an d (2, - 8) y (- 5, 6)

e x p an d - \frac{π}{7} (x - 1)