因式分解(1)x2-9y2(2)(a+b)2-6(a+b)+9 (3)x4-9x2(4)-3x3+6x2y-3xy2(5)2x(a-b)-(b-a

2024-11-22 22:39:33
推荐回答(1个)
回答1:

(1)x2-9y2
=x2-(3y)2
=(x-3y)(x+3y);

(2)(a+b)2-6(a+b)+9,
=(a+b)2-6(a+b)+32
=(a+b-3)2

(3)x4-9x2
=x2(x2-9),
=x2(x-3)(x+3);

(4)-3x3+6x2y-3xy2
=-3x(x2-2xy+y2),
=-3x(x-y)2

(5)2x(a-b)-(b-a),
=2x(a-b)+(a-b),
=(a-b)(2x-1).