计算：1.（x-1)^2+2(1-x) 2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）1.（x-1)^2+2(1-x)2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）

来源：学生作业帮助网编辑：作业帮时间：2024/04/29 05:45:33

计算：1.（x-1)^2+2(1-x) 2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）1.（x-1)^2+2(1-x)2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）
计算：1.（x-1)^2+2(1-x) 2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）
1.（x-1)^2+2(1-x)
2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）

计算：1.（x-1)^2+2(1-x) 2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）1.（x-1)^2+2(1-x)2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）
1.（x-1)^2+2(1-x)
=(x-1)(x-1-2)
=(x-1)(x-3)
2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）
=(x-y)/(x+3y)×(x^2+6xy+9y^2)/(x^2-y^2)-2y/(x+y）
=(x-y)/(x+3y)×(x+3y)^2/[(x-y)(x+y)]-2y/(x+y）
=(x+3y)/(x+y)-2y/(x+y）
=(x+3y-2y)/(x+y)
=1

1.（x-1)^2+2(1-x)
=(x-1)²-2(x-1)
=(x-1)(x-1-2)
=(x-1)(x-3)

2.(x-y)/(x+3y)÷(x^2-y^2)/(x^2+6xy+9y^2)-2y/(x+y）
=(x-y)/(x+3y)÷[(x-y)(x+y)/(x+3y)²]-2y/(x+y)
=(x+3y)/(x+y)-2y/(x+y)
=(x+3y-2y)/(x+y)
=(x+y)/(x+y)
=1

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