因式分解 x^4-y^4+(x-y)(x+y)^3

上面那个打错了x^4-y^4-(x-y)(x+y)^3
2025-06-21 20:13:11
推荐回答(1个)
回答1:

X ^ 4-Y ^ 4 - (XY)(X + Y)^ 3
=(XY)(X + Y)(X 2 + Y 2) - (XY)(X + Y)(X + y)的2

=(xy)的(+ y)的[(×2 + Y 2) - (X + y)的2]
=(xy)的(+ y)的(-2XY) BR /> = 2XY(XY)(X + Y)