展开 (3x^2-7x+4)^8

解答

展开

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

求解步骤

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

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

= (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)

乘开

(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) : 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 \frac{h x + d}{( x - r ) ^{2}}

e x p an d \frac{11 π}{45 3}

e x p an d 1.07466494 \cdot 1 0^{9}

e x p an d \frac{5 x - 24}{( x - 3 ) ( x + 4 ) ( x - 6 )}

e x p an d 2 (13 x + 20 = 0)