分解因式(x²-1)²-6(x²-1)+9

问题描述:

分解因式(x²-1)²-6(x²-1)+9

(x²-1)²-6(x²-1)+9
=(x^2-1)^2-2*(x^2-1)^3+3^2
=[(x^2-1)-3]^2
=(x^2-2^2)^2
=(x+2)^2*(x-2)^2