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

Lösung

erweitern

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

243 x^{10} + 2025 x^{9} + 5940 x^{8} + 5850 x^{7} - 3045 x^{6} - 6475 x^{5} + 2030 x^{4} + 2600 x^{3} - 1760 x^{2} + 400 x - 32

Schritte zur Lösung

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

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

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

Multipliziere aus

(3 x^{2} + 5 x - 2) (3 x^{2} + 5 x - 2) (3 x^{2} + 5 x - 2) (3 x^{2} + 5 x - 2) (3 x^{2} + 5 x - 2) : 243 x^{10} + 2025 x^{9} + 5940 x^{8} + 5850 x^{7} - 3045 x^{6} - 6475 x^{5} + 2030 x^{4} + 2600 x^{3} - 1760 x^{2} + 400 x - 32

= 243 x^{10} + 2025 x^{9} + 5940 x^{8} + 5850 x^{7} - 3045 x^{6} - 6475 x^{5} + 2030 x^{4} + 2600 x^{3} - 1760 x^{2} + 400 x - 32

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

e x p an d 2 (x^{3} e^{- 3 x} - 3)

e x p an d (5 e^{2} - 2 b + c^{3}) (3 x - 2 y - 5 z + 2)

e x p an d \frac{b}{s ( s + a )}

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