Question

分解因式（1）（a-b）²+4ab（2）4xy²-4x²y-y³（3）3ax²-3ay²

要有过程解答。

Answer 1

（a-b）2+4ab
=a2-2ab+b2+4ab
=a2+2ab+b2
=(a+b)2

4xy2-4x2y-y3
=-y(4x2-4ay+y2)
=-y(2x-y)2

3ax2-3ay2
=3a(x2-y2)
=3a(x+y)(x-y)

Answer 2

（1）（a-b）^2+4ab=a^2+b^2-2ab+4ab=（a+b）^2
（2）4xy^2-4x^2y-y^3=-y(-4xy+4x^2+y^2)=-y(2x-y)^2
（3）3ax2-3ay2=3a(x^2-y^2)=3a(x+y)(x-y)