erweitern (x^4+3x^2-2)^5

Lösung

erweitern

(x^{4} + 3 x^{2} - 2)^{5}

x^{20} + 15 x^{18} + 80 x^{16} + 150 x^{14} - 95 x^{12} - 477 x^{10} + 190 x^{8} + 600 x^{6} - 640 x^{4} + 240 x^{2} - 32

Schritte zur Lösung

(x^{4} + 3 x^{2} - 2)^{5}

(x^{4} + 3 x^{2} - 2)^{5} = (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2)

= (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2)

Multipliziere aus

(x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) (x^{4} + 3 x^{2} - 2) : x^{20} + 15 x^{18} + 80 x^{16} + 150 x^{14} - 95 x^{12} - 477 x^{10} + 190 x^{8} + 600 x^{6} - 640 x^{4} + 240 x^{2} - 32

= x^{20} + 15 x^{18} + 80 x^{16} + 150 x^{14} - 95 x^{12} - 477 x^{10} + 190 x^{8} + 600 x^{6} - 640 x^{4} + 240 x^{2} - 32

e x p an d \frac{sin ( 3 - x )}{( x - 3 ) \times ( x ^{2} + 1 )}

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

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

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

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