展開する (4-7x+3x^2)^8

解

展開する

(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

解答ステップ

(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)

拡張

(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