erweitern (3x^2-5x+1)^5

Lösung

erweitern

(3 x^{2} - 5 x + 1)^{5}

243 x^{10} - 2025 x^{9} + 7155 x^{8} - 13950 x^{7} + 16395 x^{6} - 11975 x^{5} + 5465 x^{4} - 1550 x^{3} + 265 x^{2} - 25 x + 1

Schritte zur Lösung

(3 x^{2} - 5 x + 1)^{5}

(3 x^{2} - 5 x + 1)^{5} = (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1)

= (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1)

Multipliziere aus

(3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) : 243 x^{10} - 2025 x^{9} + 7155 x^{8} - 13950 x^{7} + 16395 x^{6} - 11975 x^{5} + 5465 x^{4} - 1550 x^{3} + 265 x^{2} - 25 x + 1

= 243 x^{10} - 2025 x^{9} + 7155 x^{8} - 13950 x^{7} + 16395 x^{6} - 11975 x^{5} + 5465 x^{4} - 1550 x^{3} + 265 x^{2} - 25 x + 1

e x p an d \frac{9}{( 1 - x ) ^{2}}

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

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

e x p an d (x^{2} - 1) d y

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