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:2024/07/28 19:24:25
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)
〔(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)