几道初一因式分解·分组分解法的题,快1,c²+a²-b²+2ac2,2a²-2+2b²-4ab3,x^3+x²y-x²z-xyz

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/22 18:27:33
几道初一因式分解·分组分解法的题,快1,c²+a²-b²+2ac2,2a²-2+2b²-4ab3,x^3+x²y-x²z-xyz几

几道初一因式分解·分组分解法的题,快1,c²+a²-b²+2ac2,2a²-2+2b²-4ab3,x^3+x²y-x²z-xyz
几道初一因式分解·分组分解法的题,快
1,c²+a²-b²+2ac
2,2a²-2+2b²-4ab
3,x^3+x²y-x²z-xyz

几道初一因式分解·分组分解法的题,快1,c²+a²-b²+2ac2,2a²-2+2b²-4ab3,x^3+x²y-x²z-xyz
c²+a²-b²+2ac
=(a+c)²-b²
=(a+c-b)(a+c+b)
2a²-2+2b²-4ab
=2(a²-2ab+b²)-2
=2[(a-b)²-1]
=2(a-b-1)(a-b+1)
x^3+x²y-x²z-xyz
=x²(x+y)-xz(x+y)
=(x²-xz)(x+y)
=x(x-z)(x+y)

原式等于:
1,(a+c+b)(a+c-b)
2,2(a-b+1)(a-b-1)
3,(x+y)(x-z)x

1.=(a+c)²-b²
2.=2(a-b)²-2
3.看不懂

1,c²+a²-b²+2ac
=(c²+2ac+a²)-b²
=(c+a)²-b²
=(a+c-b)(a+c+b)
2 2a²-2+2b²-4ab
=2(a²-2ab+b2)-2
=2(a-b)²-2

全部展开

1,c²+a²-b²+2ac
=(c²+2ac+a²)-b²
=(c+a)²-b²
=(a+c-b)(a+c+b)
2 2a²-2+2b²-4ab
=2(a²-2ab+b2)-2
=2(a-b)²-2
=2(a-b+1)(a-b-1)
3 x^3+x²y-x²z-xyz
=x^3-x²z+x²y-xyz
=x²(x-z)+xy(x-z)
=(x²+xy)(x-z)
=x(x+y)(x-z)

收起