分解因式: (1) -3分之1x^2+3y^2 (2)x^3-2x^2+x (3)p(x-y)-q(y-x) (4)(x+y)^2-(y+x)
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(1) -3分之1x^2+3y^2
=-1/3(x²-9y²)
=-1/3(x-3y)(x+3y)
(2)x^3-2x^2+x
=x(x²-2x+1)
=x(x-1)²
(3)p(x-y)-q(y-x)
=(x-y)(p+q)
(4)(x+y)^2-(y+x)
=(x+y)(x+y-1)
=-1/3(x²-9y²)
=-1/3(x-3y)(x+3y)
(2)x^3-2x^2+x
=x(x²-2x+1)
=x(x-1)²
(3)p(x-y)-q(y-x)
=(x-y)(p+q)
(4)(x+y)^2-(y+x)
=(x+y)(x+y-1)
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