展开 (2x^2+x-3)^8

解答

展开

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

256 x^{16} + 1024 x^{15} - 1280 x^{14} - 8960 x^{13} + 1120 x^{12} + 35392 x^{11} + 5488 x^{10} - 82640 x^{9} - 15455 x^{8} + 123960 x^{7} + 12348 x^{6} - 119448 x^{5} + 5670 x^{4} + 68040 x^{3} - 14580 x^{2} - 17496 x + 6561

求解步骤

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

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

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

乘开

(2 x^{2} + x - 3) (2 x^{2} + x - 3) (2 x^{2} + x - 3) (2 x^{2} + x - 3) (2 x^{2} + x - 3) (2 x^{2} + x - 3) (2 x^{2} + x - 3) (2 x^{2} + x - 3) : 256 x^{16} + 1024 x^{15} - 1280 x^{14} - 8960 x^{13} + 1120 x^{12} + 35392 x^{11} + 5488 x^{10} - 82640 x^{9} - 15455 x^{8} + 123960 x^{7} + 12348 x^{6} - 119448 x^{5} + 5670 x^{4} + 68040 x^{3} - 14580 x^{2} - 17496 x + 6561

= 256 x^{16} + 1024 x^{15} - 1280 x^{14} - 8960 x^{13} + 1120 x^{12} + 35392 x^{11} + 5488 x^{10} - 82640 x^{9} - 15455 x^{8} + 123960 x^{7} + 12348 x^{6} - 119448 x^{5} + 5670 x^{4} + 68040 x^{3} - 14580 x^{2} - 17496 x + 6561

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