展开 (4a^2+3a+6)^7

解答

展开

(4 a^{2} + 3 a + 6)^{7}

16384 a^{14} + 86016 a^{13} + 365568 a^{12} + 1016064 a^{11} + 2407104 a^{10} + 4436208 a^{9} + 7126812 a^{8} + 9319131 a^{7} + 10690218 a^{6} + 9981468 a^{5} + 8123976 a^{4} + 5143824 a^{3} + 2776032 a^{2} + 979776 a + 279936

求解步骤

(4 a^{2} + 3 a + 6)^{7}

(4 a^{2} + 3 a + 6)^{7} = (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6)

= (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6)

乘开

(4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) (4 a^{2} + 3 a + 6) : 16384 a^{14} + 86016 a^{13} + 365568 a^{12} + 1016064 a^{11} + 2407104 a^{10} + 4436208 a^{9} + 7126812 a^{8} + 9319131 a^{7} + 10690218 a^{6} + 9981468 a^{5} + 8123976 a^{4} + 5143824 a^{3} + 2776032 a^{2} + 979776 a + 279936

= 16384 a^{14} + 86016 a^{13} + 365568 a^{12} + 1016064 a^{11} + 2407104 a^{10} + 4436208 a^{9} + 7126812 a^{8} + 9319131 a^{7} + 10690218 a^{6} + 9981468 a^{5} + 8123976 a^{4} + 5143824 a^{3} + 2776032 a^{2} + 979776 a + 279936

e x p an d \frac{3 y ^{2} - 1 - 2 y}{2 ( - 1 + x )}

e x p an d (r - 3 - 13)^{2}

e x p an d (x + 15 - 13 i) (x + 15 + 13 i)

e x p an d (A + B^{^{'}}) (A + C)

e x p an d 3 (2 + 10)