X^n-1*(X^n+2)^2*X^2*(X^2n-1)^3数学幂的乘方与积的乘方的计算题

x^(n)*x^(n+1)+x^(2n)*x f(x)=e^x-x 求证(1/n)^n+(2/n)^n+...+(n/n)^n 若(x^2+1/x)^n(n∈N+,n 因式分解：(x^n+1)+(2x^n)+(x^n-1) x^n+1-2x^n+x^n-1因式分解 x^n-1-2x^n+x^n-1因式分解 分解因式x^n-x^(n-1)+x^(n-2) x^n-2x^n+1,因式分解 x^n*x^n+1*(-x)^2n*x+(-x)^2n+3x^2n-2*x (-x)^3x^n-1+x^2n(-x)^3 求和:1+x+x^2+.+x^n (4x^n-2x^n-1-3x^n+2)÷（-5x^n-1) 计算(x^(2n)+x^n+1)(x^(3n)-x^(2n)+1) 因式分解4x^(n+2)-9x^n+6x^(n-1)-x^(n-2) 因式分解4x^n+2-9x^n+6x^n-1-x^n-2 x^n-1(3x^n+4x^n+1-5x^n+2) 因式分解：x^(2n)+(2x)^(n)+4^(n-1) x^2n+(2x)^n+4^(n-1) 因式分解