作业帮 > 数学 > 作业

几道平方差因式分解.X平方-(x-y)平方9a平方-4(b+c)平方(x+2y)平方-(2x-y)平方(x+y+z)平方

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/21 06:24:58
几道平方差因式分解.
X平方-(x-y)平方

9a平方-4(b+c)平方
(x+2y)平方-(2x-y)平方
(x+y+z)平方-(x-y-z)平方
(2n+3)平方-(2n+1)平方
x²-(x-y)²
=[x+(x-y)][x-(x-y)]
=y(2x-y)
9a²-4(b+c)²
=[3a+2(b+c)][3a-2(b+c)]
=(3a+2b+2c)(3a-2b-2c)
(x+2y)²-(2x-y)²
=[(x+2y)+(2x-y)][(x+2y)-(2x-y)]
=(3x+y)(3y-x)
(x+y+z)²-(x-y-z)²
=[(x+y+z)+(x-y-z)][(x+y+z)-(x-y-z)]
=2x×(2y+2z)
=4x(y+z)
(2n+3)²-(2n+1)²
=[(2n+3)+(2n+1)][(2n+3)-(2n+1)]
=(4n+4)×2
=8(n+1)