分解因式:①x4+x3y-xy3-y4 ②(x+2)(x-3)(x+4)(x-5)+13

分解因式:①x4+x3y-xy3-y4②(x+2)(x-3)(x+4)(x-5)+13....
2026年09月21日 13:59
有1个网友回答
网友(1):

①x4+x3y-xy3-y4
=(x2-y2)(x2+y2)+xy(x2-y2),
=(x2-y2)(x2+y2+xy),
=(x+y)(x-y)(x2+y2+xy),

②(x+2)(x-3)(x+4)(x-5)+13,
=(x2-x-6)(x2-x-20)+13,
=(x2-x)2-26(x2-x)+133,
=(x2-x-19)(x2-x-7).