Question

因式分解 x(x+y)(x-y)-x(x+y)^2

各位帮帮忙，要过程

Answer 1

x(x+y)(x-y)-x(x+y)^2
= x(x+y)(x-y)-x(x+y)(x+y)
=x(x+y)(x-y-x-y)
=-2xy(x+y)

Answer 2

=x(x+y)(x-y)-x(x+y)(x+y)
=x(x+y)[(x-y)-(x+y)]
=x(x+y)(-2y)
=-2xy(x+y)

Answer 3

原式=X(X+Y)[(X-Y)-(X+Y)]
=X(X+Y)(-2Y)
=-2XY(X+Y)
还要再化简吗？

Answer 4

=x(x+y)[(x-y)-(x+y)]
=x(X+Y)(-2Y)
=-2XY(X+Y)

Answer 5

-2xy(x+y) 提取X(X+Y)

Answer 6

(x+y)*2xy