x(x-y)-y(x+y)的因式分解

x(x-y)-y(x+y)的因式分解
2024-11-16 20:51:08
推荐回答(3个)
回答1:

原式=X平方-XY-XY- Y平方
=X平方-2XY- Y平方
=X平方-2XY+ Y平方-2y平方
=(X-Y)平方-2y平方
=(x-y+根下2y)(x-y-根下2y)

回答2:

原式=x^2-xy-yx-y^2=x^2-2xy-y^2

回答3:

x(x-y)-y(x+y)
=x²-xy-xy-y²
=x²-2xy-y²
=(x²-2xy+y²)-y²-y²
=(x-y)²-2y²
=(x-y+√2y)(x-y-√2y)