erweitern (7x^2+5x-2)^8

Lösung

erweitern

(7 x^{2} + 5 x - 2)^{8}

5764801 x^{16} + 32941720 x^{15} + 69177612 x^{14} + 51765560 x^{13} - 22958362 x^{12} - 51573480 x^{11} - 5300036 x^{10} + 22073800 x^{9} + 3863745 x^{8} - 6306800 x^{7} - 432656 x^{6} + 1202880 x^{5} - 152992 x^{4} - 98560 x^{3} + 37632 x^{2} - 5120 x + 256

Schritte zur Lösung

(7 x^{2} + 5 x - 2)^{8}

(7 x^{2} + 5 x - 2)^{8} = (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2)

= (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2)

Multipliziere aus

(7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) (7 x^{2} + 5 x - 2) : 5764801 x^{16} + 32941720 x^{15} + 69177612 x^{14} + 51765560 x^{13} - 22958362 x^{12} - 51573480 x^{11} - 5300036 x^{10} + 22073800 x^{9} + 3863745 x^{8} - 6306800 x^{7} - 432656 x^{6} + 1202880 x^{5} - 152992 x^{4} - 98560 x^{3} + 37632 x^{2} - 5120 x + 256

= 5764801 x^{16} + 32941720 x^{15} + 69177612 x^{14} + 51765560 x^{13} - 22958362 x^{12} - 51573480 x^{11} - 5300036 x^{10} + 22073800 x^{9} + 3863745 x^{8} - 6306800 x^{7} - 432656 x^{6} + 1202880 x^{5} - 152992 x^{4} - 98560 x^{3} + 37632 x^{2} - 5120 x + 256

e x p an d - \frac{1}{2} p o in t (4, - 8)

e x p an d 5 (x - 3 = 20)

e x p an d - 5 x^{2} (6 - ln (x))

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

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