作业帮先化简,再求值:[x²÷(x-y)]-[y²÷(x-y)],其中x=1+2√3,y=1-2√3
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/16 08:48:15
![先化简,再求值:[x²÷(x-y)]-[y²÷(x-y)],其中x=1+2√3,y=1-2√3](/uploads/image/z/3999471-15-1.jpg?t=%E5%85%88%E5%8C%96%E7%AE%80%2C%E5%86%8D%E6%B1%82%E5%80%BC%3A%5Bx%26%23178%3B%C3%B7%28x-y%29%5D-%5By%26%23178%3B%C3%B7%28x-y%29%5D%2C%E5%85%B6%E4%B8%ADx%3D1%2B2%E2%88%9A3%2Cy%3D1-2%E2%88%9A3)
先化简,再求值:[x²÷(x-y)]-[y²÷(x-y)],其中x=1+2√3,y=1-2√3
先化简,再求值:[x²÷(x-y)]-[y²÷(x-y)],其中x=1+2√3,y=1-2√3
先化简,再求值:[x²÷(x-y)]-[y²÷(x-y)],其中x=1+2√3,y=1-2√3
原式=（ X²-Y²）/（X-Y） =X+Y=2
(X²-Y²)÷(x-y)
=(x+y)(x-y)÷(x-y)
=(x+y)
=1+2√3+1-2√3
=2
=(x²-y²)/(x-y)=(x+y)(x-y)/(x-y)=x+y
因为：
x=1+2√3,
y=1-2√3
所以
x+y=2