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

Lösung

erweitern

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

32 y^{10} + 80 y^{9} + 320 y^{8} + 520 y^{7} + 1090 y^{6} + 1201 y^{5} + 1635 y^{4} + 1170 y^{3} + 1080 y^{2} + 405 y + 243

Schritte zur Lösung

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

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

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

Multipliziere aus

(3 + y + 2 y^{2}) (3 + y + 2 y^{2}) (3 + y + 2 y^{2}) (3 + y + 2 y^{2}) (3 + y + 2 y^{2}) : 32 y^{10} + 80 y^{9} + 320 y^{8} + 520 y^{7} + 1090 y^{6} + 1201 y^{5} + 1635 y^{4} + 1170 y^{3} + 1080 y^{2} + 405 y + 243

= 32 y^{10} + 80 y^{9} + 320 y^{8} + 520 y^{7} + 1090 y^{6} + 1201 y^{5} + 1635 y^{4} + 1170 y^{3} + 1080 y^{2} + 405 y + 243

e x p an d (3 + 7 e^{- 0.25 x})^{2}

e x p an d (a^{3} + b^{3}) (a^{6} + b^{5}) (a^{3} - b^{3})^{+ b, 2}

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

e x p an d \frac{x ^{2}}{( cos ( x ) + x sin ( x ) ) ^{2}}

e x p an d \frac{10 x ^{2} + 50 x}{( 2 x + 5 ) ^{2}}