用因式分解的思想作多项式的除法题
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:2024/06/23 21:59:49
用因式分解的思想作多项式的除法题
[(x^2+y^2)^2-4x^2·y^2]÷(x^2-y^2)
[(x^2+y^2)^2-4x^2·y^2]÷(x^2-y^2)
![用因式分解的思想作多项式的除法题](/uploads/image/z/15794312-32-2.jpg?t=%E7%94%A8%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E7%9A%84%E6%80%9D%E6%83%B3%E4%BD%9C%E5%A4%9A%E9%A1%B9%E5%BC%8F%E7%9A%84%E9%99%A4%E6%B3%95%E9%A2%98)
〔(x^2+y^2)^2-4x^2·y^2〕÷(x^2-y^2)
〔x^4+y^4-2x^2·y^2〕÷(x^2-y^2)
=(x^2-y^2)^2÷(x^2-y^2)
=(x+y)(x-y)
〔x^4+y^4-2x^2·y^2〕÷(x^2-y^2)
=(x^2-y^2)^2÷(x^2-y^2)
=(x+y)(x-y)