erweitern (x^2+4x+6)^5

Lösung

erweitern

(x^{2} + 4 x + 6)^{5}

x^{10} + 20 x^{9} + 190 x^{8} + 1120 x^{7} + 4520 x^{6} + 13024 x^{5} + 27120 x^{4} + 40320 x^{3} + 41040 x^{2} + 25920 x + 7776

Schritte zur Lösung

(x^{2} + 4 x + 6)^{5}

(x^{2} + 4 x + 6)^{5} = (x^{2} + 4 x + 6) (x^{2} + 4 x + 6) (x^{2} + 4 x + 6) (x^{2} + 4 x + 6) (x^{2} + 4 x + 6)

= (x^{2} + 4 x + 6) (x^{2} + 4 x + 6) (x^{2} + 4 x + 6) (x^{2} + 4 x + 6) (x^{2} + 4 x + 6)

Multipliziere aus

(x^{2} + 4 x + 6) (x^{2} + 4 x + 6) (x^{2} + 4 x + 6) (x^{2} + 4 x + 6) (x^{2} + 4 x + 6) : x^{10} + 20 x^{9} + 190 x^{8} + 1120 x^{7} + 4520 x^{6} + 13024 x^{5} + 27120 x^{4} + 40320 x^{3} + 41040 x^{2} + 25920 x + 7776

= x^{10} + 20 x^{9} + 190 x^{8} + 1120 x^{7} + 4520 x^{6} + 13024 x^{5} + 27120 x^{4} + 40320 x^{3} + 41040 x^{2} + 25920 x + 7776

e x p an d \frac{( 1 - cos ( 2 π w ) ) ^{2} + ( sin ( 2 π w ) ) ^{2}}{w}

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

e x p an d \frac{1}{4} (1 + s) (1 + t) + \frac{1}{4} (1 - s) (1 + t)

e x p an d \frac{( 5 y - 3 ) ^{2}}{25}

e x p an d 2 (\frac{π}{4} + 1)