因式分解 (x-y)的5次方+(y-x)的3次方

2025-01-19 19:42:45
推荐回答(2个)
回答1:

(x-y)的5次方+(y-x)的3次方
=(x-y)的5次方-(x-y)的3次方
=(x-y)³【(x-y)²-1】
=(x-y)³(x-y+1)(x-y-1)

回答2:

(x-y)^5+(y-x)^3
=(x-y)^5-(x-y)^3
=(x-y)^3[(x-y)^2-1]
=(x-y)^3(x-y+1)(x-y-1)