分解因式x^2+2xy+y^2-4x-4y-5
问题描述:
分解因式x^2+2xy+y^2-4x-4y-5
答
x^2+2xy+y^2-4x-4y-5
=(x+y)²-4(x+y)-5
=(x+y)²-4(x+y)+4-9
=(x+y-2)²-9
=(x+y-2)²-3²
=(x+y-5)(x+y+1)