几道因式分解,要过程,急需

来源:百度知道 编辑:UC知道 时间:2024/06/09 00:43:35
1.-X^2-四分之一+X
2.x^2+2X(m-n)+(n-m)^2
3.4(x+y)^2-4(X+Y)*Z+Z^2
4.(a-b)^3-2(b-a)^2+(a-b)
5.9(X+a)^2+30(X+a)(X+b)^2

1.-X^2-四分之一+X
=-(X^2-X+1/4)
=-(X-1/2)^2

2.x^2+2x(m-n)+(n-m)^2
=x^2+2x(m-n)+(m-n)^2
=(x+m-n)^2

3.4(x+y)^2-4(X+Y)*Z+Z^2
=[2(x+y)-z]^2
=(2x+2y-z)^2

4.(a-b)^3-2(b-a)^2+(a-b)
=(a-b)^3-2(a-b)^2+(a-b)
=(a-b)[(a-b)^2-2(a-b)+1]
=(a-b)(a-b-1)^2

5.9(X+a)^2+30(X+a)(X+b)^2
=3(X+a)[3(X+a)+10(X+b)^2]
=3(X+a)(10X^2+20bx+10b^2+3X+3a)

=

1,-(x-1/2)^2
2,(x+m-n)^2
3,[2(x+y)-z]^2
4,(a-b)^3
5,只有(x+a)能提出来

有个公式是
(a+b)^2=a^2+2ab+b^2
另外一个是
(a-b)^2=a^2-2ab+b^2
这两个公式满基础的,你不知道吧

1、-x^2-1/4+x
=-(x^2-x+1/4)
=-〔x^2-x+(1/2)^2〕
=-(x-1/2)^2

1.-X^2-四分之一+X
=-(x-1/2)^2
2.x^2+2X(m-n)+(n-m)^2
=(x+m-n)^2
3.4(x+y)^2-4(X+Y)*Z+Z^2
=(2x+2y-z)^2
4.(a-b)^3-2(b-a)^2+(a-b)
=(a-b)(a-b-1)
5.9(X+a)^2+30(X+a)(X+b)^2
=3(x+a)[3x+3a+10(x+b)^2]