因式分解x²-y²+6x-4y+5

问题描述:

因式分解x²-y²+6x-4y+5
要求步骤完整,别跳步

x²-y²+6x-4y+5
=x²+6x+9-y²-4y-4
=(x+3)²-(y+2)²
=(x+3-y-2)(x+3+y+2)
=(x-y+1)(x+y+5)