erweitern (2x+2h+1)^5

Lösung

erweitern

(2 x + 2 h + 1)^{5}

32 x^{5} + 160 x^{4} h + 80 x^{4} + 320 x^{3} h^{2} + 320 x^{3} h + 80 x^{3} + 320 x^{2} h^{3} + 480 x^{2} h^{2} + 240 x^{2} h + 40 x^{2} + 160 x h^{4} + 320 x h^{3} + 240 x h^{2} + 80 x h + 10 x + 32 h^{5} + 80 h^{4} + 80 h^{3} + 40 h^{2} + 10 h + 1

Schritte zur Lösung

(2 x + 2 h + 1)^{5}

(2 x + 2 h + 1)^{5} = (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1)

= (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1)

Multipliziere aus

(2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) : 32 x^{5} + 160 x^{4} h + 80 x^{4} + 320 x^{3} h^{2} + 320 x^{3} h + 80 x^{3} + 320 x^{2} h^{3} + 480 x^{2} h^{2} + 240 x^{2} h + 40 x^{2} + 160 x h^{4} + 320 x h^{3} + 240 x h^{2} + 80 x h + 10 x + 32 h^{5} + 80 h^{4} + 80 h^{3} + 40 h^{2} + 10 h + 1

= 32 x^{5} + 160 x^{4} h + 80 x^{4} + 320 x^{3} h^{2} + 320 x^{3} h + 80 x^{3} + 320 x^{2} h^{3} + 480 x^{2} h^{2} + 240 x^{2} h + 40 x^{2} + 160 x h^{4} + 320 x h^{3} + 240 x h^{2} + 80 x h + 10 x + 32 h^{5} + 80 h^{4} + 80 h^{3} + 40 h^{2} + 10 h + 1

e x p an d \frac{( x - 6 ) ^{2}}{9}

e x p an d - 2 (e^{x} sin (e^{x}) + cos (e^{x})) + 4 e^{- x}

e x p an d (- 1, 0) y (- 1, - 4)

e x p an d \frac{4 x ^{2}}{( 1 - x ^{2} ) ^{2}}

e x p an d \frac{( ( L + d - x ) ^{2} - x )}{( ( ( L + d - x ) ^{2} - x ) ^{2} + h ^{2} )}