erweitern (3x^2+9x-4)^5

Lösung

erweitern

(3 x^{2} + 9 x - 4)^{5}

243 x^{10} + 3645 x^{9} + 20250 x^{8} + 46170 x^{7} + 15255 x^{6} - 77031 x^{5} - 20340 x^{4} + 82080 x^{3} - 48000 x^{2} + 11520 x - 1024

Schritte zur Lösung

(3 x^{2} + 9 x - 4)^{5}

(3 x^{2} + 9 x - 4)^{5} = (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4)

= (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4)

Multipliziere aus

(3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) (3 x^{2} + 9 x - 4) : 243 x^{10} + 3645 x^{9} + 20250 x^{8} + 46170 x^{7} + 15255 x^{6} - 77031 x^{5} - 20340 x^{4} + 82080 x^{3} - 48000 x^{2} + 11520 x - 1024

= 243 x^{10} + 3645 x^{9} + 20250 x^{8} + 46170 x^{7} + 15255 x^{6} - 77031 x^{5} - 20340 x^{4} + 82080 x^{3} - 48000 x^{2} + 11520 x - 1024

e x p an d \frac{1}{( 4 x ^{2} - 5 ) ^{2}}

e x p an d \frac{1}{( 2 z + 1 ) ( z + 1 ) ( z + 0.5 )}

e x p an d \frac{4}{( 3 x - 1 ) ^{2}}

e x p an d \frac{( 4 x ^{3} - 5 x ) ^{8}}{8}

e x p an d \frac{( x - 2 ) ( x - 3 )}{2 ( x + 3 )}