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

Lösung

erweitern

(2 + 3 x + 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

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

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

(2 + 3 x + x^{2}) (2 + 3 x + x^{2}) (2 + 3 x + x^{2}) (2 + 3 x + x^{2}) (2 + 3 x + 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 (- 3, 1) y (1, - 2)

e x p an d \frac{- 3 x ^{2} + 10}{x ^{2} ( x ^{4} - 16 )}

e x p an d \frac{b}{s ^{2} ( s + a )}

e x p an d \frac{s}{( s ^{2} + 9 ) ^{2}}

e x p an d cos (\frac{( 2 n - 1 ) π}{2})