ax²+2a²x+a³ (x²+y²)²-4x²y²(a²+ab)²-(3ab+4b²)²

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 20:52:27
ax²+2a²x+a³ (x²+y²)²-4x²y²(a²+ab)²-(3ab+4b²)²

ax²+2a²x+a³ (x²+y²)²-4x²y²(a²+ab)²-(3ab+4b²)²
ax²+2a²x+a³ (x²+y²)²-4x²y²
(a²+ab)²-(3ab+4b²)²

ax²+2a²x+a³ (x²+y²)²-4x²y²(a²+ab)²-(3ab+4b²)²
ax²+2a²x+a³
=a(x²+2ax+a²)
=a(x+a)²
(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²
(a²+ab)²-(3ab+4b²)²
=(a²+ab+3ab+4b²)(a²+ab-3ab-4b²)\
=(a²+4ab+4b²)(a²-2ab-4b²)
=(a+2b)²(a²-2ab-4b²)
不知道你写了根式,也就是无理数没有,学了的话a²-2ab-4b还可以分解一步