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

Lösung

erweitern

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

32 x^{10} - 240 x^{9} + 800 x^{8} - 1560 x^{7} + 1970 x^{6} - 1683 x^{5} + 985 x^{4} - 390 x^{3} + 100 x^{2} - 15 x + 1

Schritte zur Lösung

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

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

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

Multipliziere aus

(2 x^{2} - 3 x + 1) (2 x^{2} - 3 x + 1) (2 x^{2} - 3 x + 1) (2 x^{2} - 3 x + 1) (2 x^{2} - 3 x + 1) : 32 x^{10} - 240 x^{9} + 800 x^{8} - 1560 x^{7} + 1970 x^{6} - 1683 x^{5} + 985 x^{4} - 390 x^{3} + 100 x^{2} - 15 x + 1

= 32 x^{10} - 240 x^{9} + 800 x^{8} - 1560 x^{7} + 1970 x^{6} - 1683 x^{5} + 985 x^{4} - 390 x^{3} + 100 x^{2} - 15 x + 1

e x p an d - \frac{2 u ( 10 - 3 y ^{4} )}{3 y}

e x p an d x (1 + x^{3}) d x

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

e x p an d (3, 5, 9) \cdot (3 x, - 9 - 5 x, - 7 - 9 x)

e x p an d (x + Δ x + 7) x + 7