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2(a²+b²)(a+b)²-(a²-b²)²

来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/04/27 16:51:00
2(a²+b²)(a+b)²-(a²-b²)²
4(1+2x-3y)+(3y-2x)²
(x+y)²-4(x+y-1)
3(a-2)²-(3a-2)+27(2-3a)
2(a²+b²)(a+b)²-(a²-b²)²
2(a²+b²)(a+b)²-(a²-b²)²
=2(a²+b²)(a+b)²-[(a-b)(a+b)]²
=2(a²+b²)(a+b)²-(a-b)²(a+b)²
=[2(a²+b²)-(a-b)²](a+b)²
=[2a²+2b²-(a²+b²-2ab)](a+b)²
=(a²+b²+2ab)(a+b)²
=(a+b)²(a+b)²
=(a+b)^4
4(1+2x-3y)+(3y-2x)²
=4+4(2x-3y)+(2x-3y)²
=(2x-3y+2)²
(x+y)²-4(x+y-1)
=(x+y)²-4(x+y)+4
=(x+y-2)²
3(a-2)²-(3a-2)+27(2-3a)
=3(a-2)²-(3a-2)-27(3a-2)
=3(a-2)²-28(3a-2)
=[3(a-2)-28](3a-2)
=[3a-6-28](3a-2)
=(3a-34)(3a-2)