因式分解 用完全平方公式(1)1-x^2-2xy-y^2(2)x^2+4ax+4a^2-y^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 20:57:35
因式分解 用完全平方公式(1)1-x^2-2xy-y^2(2)x^2+4ax+4a^2-y^2

因式分解 用完全平方公式(1)1-x^2-2xy-y^2(2)x^2+4ax+4a^2-y^2
因式分解 用完全平方公式
(1)1-x^2-2xy-y^2
(2)x^2+4ax+4a^2-y^2

因式分解 用完全平方公式(1)1-x^2-2xy-y^2(2)x^2+4ax+4a^2-y^2
1)1-x^2-2xy-y^2
=1-(x^2+2xy+y^2)
=1-(x+y)^2
=(1+x+y)(1-x-y)
(2)x^2+4ax+4a^2-y^2
=(x+2a)^2-y^2
=(x+2a+y)(x+2a-y)

1-x^2-2xy-y^2=1-(x+y)^2=(1+x+y)(1-x-y)
x^2+4ax+4a^2-y^2 =(x+2a)^2-y^2=(x+2a-y)(x+2a+y)

-x^2-2xy-y^2= 1-(x+y)^2=(1-x-y)(1-x+y)
x^2+4ax+4a^2-y^2 =(x+2a)^2-y^2=(x+2a+y)(x+2a-y)

1-x^2-2xy-y^2=1-(x^2+2xy+y^2)=1-(x+y)^2=(1-x-y)(1+x+y)
x^2+4ax+4a^2-y^2=(x^2+4ax+4a^2)-y^2=(x+2a)^2-y^2=(x+2a-y)(x+2a+y)