作业帮几道因式分解,答的又快又准的加20分
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/05/01 09:24:47
几道因式分解,答的又快又准的加20分
a²-4a+4-c²
6x²-17x-10
5x²-13xy-6y²
6（m-n）²-10m+10n-4
x³-2x²y+xy²-x
x²+xy-2y²
都要有过程
a²-4a+4-c²
6x²-17x-10
5x²-13xy-6y²
6（m-n）²-10m+10n-4
x³-2x²y+xy²-x
x²+xy-2y²
都要有过程
a^2-4a+4-c^2
=(a-2)^2 - c^2
=[(a-2)+c][(a-2)-c]
=(a-2+c)(a-2-c)
6x^2-17x-10 =(3x-10)(2x+1)
5x^2-13xy-6y^2 =(x-3y)(5x+2y)
6（m-n）^2-10m+10n-4
=6(m-n）^2 - 10(m-n) - 4
=[(m-n) - 2][6(m-n) + 2]
=2[(m-n) - 2][3(m-n) + 1]
=2(m-n-2)(3m-3n+1)
x^3-2x^2y+xy^2-x
=x[(x^2 - 2xy + y^2) - 1]
=x[(x-y)^2 - 1]
=x{[(x-y)+1][(x-y)-1]}
=x(x-y+1)(x-y-1)
x^2+xy-2y^2 =(x+2y)(x-y)
=(a-2)^2 - c^2
=[(a-2)+c][(a-2)-c]
=(a-2+c)(a-2-c)
6x^2-17x-10 =(3x-10)(2x+1)
5x^2-13xy-6y^2 =(x-3y)(5x+2y)
6（m-n）^2-10m+10n-4
=6(m-n）^2 - 10(m-n) - 4
=[(m-n) - 2][6(m-n) + 2]
=2[(m-n) - 2][3(m-n) + 1]
=2(m-n-2)(3m-3n+1)
x^3-2x^2y+xy^2-x
=x[(x^2 - 2xy + y^2) - 1]
=x[(x-y)^2 - 1]
=x{[(x-y)+1][(x-y)-1]}
=x(x-y+1)(x-y-1)
x^2+xy-2y^2 =(x+2y)(x-y)