因式分解 (200)/(e^{22)-1}

解答

因式分解

\frac{200}{e ^{22} - 1}

\frac{200}{( e + 1 ) ( e ^{10} - e ^{9} + e ^{8} - e ^{7} + e ^{6} - e ^{5} + e ^{4} - e ^{3} + e ^{2} - e + 1 ) ( e - 1 ) ( e ^{10} + e ^{9} + e ^{8} + e ^{7} + e ^{6} + e ^{5} + e ^{4} + e ^{3} + e ^{2} + e + 1 )}

求解步骤

\frac{200}{e ^{22} - 1}

分解

e^{22} - 1 : (e + 1) (e^{10} - e^{9} + e^{8} - e^{7} + e^{6} - e^{5} + e^{4} - e^{3} + e^{2} - e + 1) (e - 1) (e^{10} + e^{9} + e^{8} + e^{7} + e^{6} + e^{5} + e^{4} + e^{3} + e^{2} + e + 1)

= \frac{200}{( e + 1 ) ( e ^{10} - e ^{9} + e ^{8} - e ^{7} + e ^{6} - e ^{5} + e ^{4} - e ^{3} + e ^{2} - e + 1 ) ( e - 1 ) ( e ^{10} + e ^{9} + e ^{8} + e ^{7} + e ^{6} + e ^{5} + e ^{4} + e ^{3} + e ^{2} + e + 1 )}

\frac{d}{d t} ((x) (12 t^{3}))

f a c t or (x - 2)^{2} - x

f a c t or 64 x^{2} - 2 π x^{2}

f a c t or ma + a - m c - c

f a c t or \cdot (2 x - 3 y)