Question

分解因式1、1/4x^2-xy+y^2~2、36x^2y-48xy^2~3、y(x-y)^2-(y-x)^3~4\-x^

Answer 1

1、1/4x^2-xy+y^2

=(1/4)*(x²-4xy+4y²）

=(1/4)*(x-2y)²

2、36x^2y-48xy^2

=12xy(3x-4y)

3、y(x-y)^2-(y-x)^3

=y(x-y)^2 +(x-y)^3

=(y+x-y)(x-y)²

=x(x-y)²

4、-x^2y^2+z^2

=z²-x²y²

=(z+xy)(z-xy)