(1) 因式分解:2y^n-y^n-2(n为整数,且n>2)=_________.(2) 因式分解:a^4*x^n+2-4x^n(n为正整数)=________

题目

(1) 因式分解:2y^n-y^n-2(n为整数,且n>2)=_________.(2) 因式分解:a^4*x^n+2-4x^n(n为正整数)=________
(3)因式分解:a^2-6a^n+5a^n-2(n>2,且n为整数)

答案

(1)2y^n-y^(n-2)=y^(n-2)(2y^2-1)（提取y^(n-2)）(2) a^4*x^(n+2)-4x^n=x^(n+2)(a^4-4)（提取x^(n+2)）(3)若n=3,则a^2-6a^n+5a^n-2=a^2-6a^3+5a=a(a-6a^2+5)若n=4,则a^2-6a^n+5a^n-2=a^2-6a^4+5a^2=6a^2-6a^4=6a^2(1...