(1)计算:29=
(2)观察以下等式:
(x﹣1)×(x+1)=x2﹣1
(x﹣1)×(x2+x+1)=x3﹣1
(x﹣1)×(x3+x2+x+1)=x4﹣1
…
由以上规律,我们可以猜测(x﹣1)×(xn+xn﹣1+…+x+1)=
(3)计算:32011+32010+…+3+1.

同类型试题

y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2


y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2

