erweitern (4-7x+3x^2)^8

Lösung

erweitern

(4 - 7 x + 3 x^{2})^{8}

6561 x^{16} - 122472 x^{15} + 1070172 x^{14} - 5810616 x^{13} + 21941766 x^{12} - 61101432 x^{11} + 129796380 x^{10} - 214552968 x^{9} + 278905249 x^{8} - 286070624 x^{7} + 230749120 x^{6} - 144833024 x^{5} + 69346816 x^{4} - 24485888 x^{3} + 6012928 x^{2} - 917504 x + 65536

Schritte zur Lösung

(4 - 7 x + 3 x^{2})^{8}

(4 - 7 x + 3 x^{2})^{8} = (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2})

= (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4)

Multipliziere aus

(4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) : 6561 x^{16} - 122472 x^{15} + 1070172 x^{14} - 5810616 x^{13} + 21941766 x^{12} - 61101432 x^{11} + 129796380 x^{10} - 214552968 x^{9} + 278905249 x^{8} - 286070624 x^{7} + 230749120 x^{6} - 144833024 x^{5} + 69346816 x^{4} - 24485888 x^{3} + 6012928 x^{2} - 917504 x + 65536

= 6561 x^{16} - 122472 x^{15} + 1070172 x^{14} - 5810616 x^{13} + 21941766 x^{12} - 61101432 x^{11} + 129796380 x^{10} - 214552968 x^{9} + 278905249 x^{8} - 286070624 x^{7} + 230749120 x^{6} - 144833024 x^{5} + 69346816 x^{4} - 24485888 x^{3} + 6012928 x^{2} - 917504 x + 65536

e x p an d 7 (x - e^{x})

e x p an d (X + Y = 7,) (5 X - 2 Y = - 7)

e x p an d sec^{2} (x) (1 - sin^{2} (x) = 1)

e x p an d \frac{( u + 1 ) ( u + 4 )}{u - 5}

e x p an d \frac{5 ( 20 + 890 )}{49}