erweitern (x^2+3x+2)^5

Lösung

erweitern

(x^{2} + 3 x + 2)^{5}

x^{10} + 15 x^{9} + 100 x^{8} + 390 x^{7} + 985 x^{6} + 1683 x^{5} + 1970 x^{4} + 1560 x^{3} + 800 x^{2} + 240 x + 32

Schritte zur Lösung

(x^{2} + 3 x + 2)^{5}

(x^{2} + 3 x + 2)^{5} = (x^{2} + 3 x + 2) (x^{2} + 3 x + 2) (x^{2} + 3 x + 2) (x^{2} + 3 x + 2) (x^{2} + 3 x + 2)

= (x^{2} + 3 x + 2) (x^{2} + 3 x + 2) (x^{2} + 3 x + 2) (x^{2} + 3 x + 2) (x^{2} + 3 x + 2)

Multipliziere aus

(x^{2} + 3 x + 2) (x^{2} + 3 x + 2) (x^{2} + 3 x + 2) (x^{2} + 3 x + 2) (x^{2} + 3 x + 2) : x^{10} + 15 x^{9} + 100 x^{8} + 390 x^{7} + 985 x^{6} + 1683 x^{5} + 1970 x^{4} + 1560 x^{3} + 800 x^{2} + 240 x + 32

= x^{10} + 15 x^{9} + 100 x^{8} + 390 x^{7} + 985 x^{6} + 1683 x^{5} + 1970 x^{4} + 1560 x^{3} + 800 x^{2} + 240 x + 32

e x p an d 2 (1 + sin (x)) (1 + cos (x))

e x p an d (z - r cos (θ))^{2}

e x p an d \frac{( 1 + x ) ^{\frac{4}{5}}}{1 + x}

e x p an d - e^{x^{2} - 5 x} (2 x - 5)

s im pl i f y (3 + z) (3 - z)