化简 (a-1)(a+1)(a^2+1)(a^4+1)(a^8+1)+1

解答

化简

(a - 1) (a + 1) (a^{2} + 1) (a^{4} + 1) (a^{8} + 1) + 1

a^{16}

求解步骤

(a - 1) (a + 1) (a^{2} + 1) (a^{4} + 1) (a^{8} + 1) + 1

展开

(a - 1) (a + 1) (a^{2} + 1) (a^{4} + 1) (a^{8} + 1) : a^{16} - 1

= a^{16} - 1 + 1

数字相加:

- 1 + 1 = 0

= a^{16}

s im pl i f y 12 x - 3 x (x + 9)

s im pl i f y (\frac{1}{2 \cdot x - 3})^{3}

s im pl i f y (\frac{- 2}{3 x + y})^{3}

f a c t or 20 x^{2} - 8 m - 12

s im pl i f y (x - y)^{3} + (y - z)^{3} + (3 c - 5 a)^{3}