计算:a²-b²分之a²-2ab+b²÷(a分之1-b分之1)2.化简并求值:(x-y分之1+x+y分之1)÷x²-y²分之2x-y,其中x,y满足|x-2|+(2x-y-3)²=0
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 15:53:55
![计算:a²-b²分之a²-2ab+b²÷(a分之1-b分之1)2.化简并求值:(x-y分之1+x+y分之1)÷x²-y²分之2x-y,其中x,y满足|x-2|+(2x-y-3)²=0](/uploads/image/z/1583368-16-8.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9Aa%26%23178%3B-b%26%23178%3B%E5%88%86%E4%B9%8Ba%26%23178%3B-2ab%2Bb%26%23178%3B%C3%B7%EF%BC%88a%E5%88%86%E4%B9%8B1-b%E5%88%86%E4%B9%8B1%EF%BC%892.%E5%8C%96%E7%AE%80%E5%B9%B6%E6%B1%82%E5%80%BC%EF%BC%9A%EF%BC%88x-y%E5%88%86%E4%B9%8B1%2Bx%2By%E5%88%86%E4%B9%8B1%EF%BC%89%C3%B7x%26%23178%3B-y%26%23178%3B%E5%88%86%E4%B9%8B2x-y%2C%E5%85%B6%E4%B8%ADx%2Cy%E6%BB%A1%E8%B6%B3%7Cx-2%7C%2B%EF%BC%882x-y-3%EF%BC%89%26%23178%3B%3D0)
计算:a²-b²分之a²-2ab+b²÷(a分之1-b分之1)2.化简并求值:(x-y分之1+x+y分之1)÷x²-y²分之2x-y,其中x,y满足|x-2|+(2x-y-3)²=0
计算:a²-b²分之a²-2ab+b²÷(a分之1-b分之1)
2.化简并求值:(x-y分之1+x+y分之1)÷x²-y²分之2x-y,其中x,y满足|x-2|+(2x-y-3)²=0
计算:a²-b²分之a²-2ab+b²÷(a分之1-b分之1)2.化简并求值:(x-y分之1+x+y分之1)÷x²-y²分之2x-y,其中x,y满足|x-2|+(2x-y-3)²=0
原式=a²-b²分之(a-b)²÷ab分之(b+a)
=(a-b)(a+b)分之(a-b)²×(a+b)分之ab
=(a-b)(a+b)²分之(a-b)²×ab
=(a+b)分之ab(a-b)
2.原式=[(x-y)(x+y)分之(x+y)+(x-y)][(2x-y)分之(x-y)(x+y)]
=(2x-y)分之2x
由x-2|+(2x-y-3)²=0得x=2,y=1
∴(2x-y)分之2x=(2×2-1)分之2×2=3分之4