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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

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

Multipliziere aus

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

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

e x p an d tan (x) (csc (x) - cot (x))

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

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

s im pl i f y (a + b)^{2}

e x p an d (1 - cos (t))^{2}