在网上等,急求,几道简单的因式分解题,要过程,会追加

25(x^4)-9(y^2)(x^2+y^2)^2-4x^2y^2x^5-三分之一x+1/36
2025-02-24 07:04:03
推荐回答(2个)
回答1:

25(x^4)-9(y^2)=(5x^2+3y)(5x^2-3y)
(x^2+y^2)^2-4x^2y^2=(x^2+y^2-2xy)(x^2+y^2+2xy)=(x-y)^2(x+y)^2
x^5-x/3+1/36=x^5-x^2+x^2-x/3+1/36=x^2(x-1)(x^2+x+1)+(x-1/6)^2

回答2:

25(x^4)-9(y^2)
=(5x^2+3y)(5x^2-3y)

(x^2+y^2)^2-4x^2y^2
=(x^2+y^2+2xy)(x^2+y^2-2xy)
=(x+y)^2(x-y)^2

x^5-x/3+1/36