作业帮x^2-4xy+3y^2因式分解
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/06/06 05:21:37
x^2-4xy+3y^2因式分解
还有（ax^2y^2-a)÷(xy+1)
【（a-2b)^2-4(a-2b)+4】÷（a-2b-2)
m^4-2(m^2-1/2)
还有（ax^2y^2-a)÷(xy+1)
【（a-2b)^2-4(a-2b)+4】÷（a-2b-2)
m^4-2(m^2-1/2)
1.x²-4xy+3y²,用十字相乘法
=(x-3y)(x-y)
2.(ax²y²-a)/(xy+1)
=a[(xy)²-1]/(xy+1)
=a(xy+1)(xy-1)/(xy+1),约掉公因数xy+1
=a(xy-1)
3.[(a-2b)²-4(a-2b)+4]/(a-2b-2)
=[(a-2b)-2]²/(a-2b-2),约掉其中一个公因数a-2b-2
=a-2b-2
4.m^4-2(m²-1/2)
=m^4-2m²+1
=(m²-1)²
=(m+1)²(m-1)²
=(x-3y)(x-y)
2.(ax²y²-a)/(xy+1)
=a[(xy)²-1]/(xy+1)
=a(xy+1)(xy-1)/(xy+1),约掉公因数xy+1
=a(xy-1)
3.[(a-2b)²-4(a-2b)+4]/(a-2b-2)
=[(a-2b)-2]²/(a-2b-2),约掉其中一个公因数a-2b-2
=a-2b-2
4.m^4-2(m²-1/2)
=m^4-2m²+1
=(m²-1)²
=(m+1)²(m-1)²