x^4+4y^4.因式分解
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:2024/07/11 22:16:58
x^4+4y^4.因式分解
![x^4+4y^4.因式分解](/uploads/image/z/19324112-32-2.jpg?t=x%5E4%2B4y%5E4.%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
x^4+4y^4
=x^4+4y^4+4x^2y^2-4x^2y^2
=(x^2+2y^2)^2-4x^2y^2
=(x^2+2y^2-2xy)(x^2+2y^2+2xy)
用添项法!
=x^4+4y^4+4x^2y^2-4x^2y^2
=(x^2+2y^2)^2-4x^2y^2
=(x^2+2y^2-2xy)(x^2+2y^2+2xy)
用添项法!