因式分解:①4(x+y)2-9(x-y)2;②-x2+4xy-4y

因式分解:①4(x+y)2-9(x-y)2;②-x2+4xy-4y2
2025-06-28 02:25:10
推荐回答(1个)
回答1:

①4(x+y)2-9(x-y)2
=(2x+2y)2-(3x-3y)2
=[(2x+2y)+(3x-3y)][(2x+2y)-(3x-3y)],
=(5x-y)(5y-x);

②-x2+4xy-4y2
=-(x2-4xy+4y2),
=-(x-2y)2