Question

求帮忙分解因式

1.(3x+2y)(9x²-6xy+4y²)
2.(2a+1-b)² -(a-b)(a+2b)
3.(2x-3)(4x² +6xy+9)
4.(a-4b)(1/4a² +4b² +ab)
5.(a+b)(a² -ab+b²)-(a+b)^3
6.(1/2m-1/3)(1/4m²+1/6²+1/9)
7.(a+b)(a²-ab+b²)(a-b)(a²+ab+b²)
8.把ab(c²-d²)-(a²-b²)cd分解因式
9.把x²-y²+ax+dy分解因式
10把2x²+4xy+2y²-8z²分解因式
题会不会太多了？能写多少是多少吧...

Answer 1

1.(3x+2y)(9x²-6xy+4y²)=27x^3+8y^3

2.(2a+1-b)² -(a-b)(a+2b)
=4a²+b²+1-4ab-2b+4a-(a²+2ab-ab-2b²)
=3a²+3b²-5ab+4a-2b+1
3.(2x+3)(4x² -6xy+9)=8x³+27

4.(a-4b)(1/4a² +4b² +ab)
=1/4a³+4ab²+a²b-a²b-16b³-4ab²=1/4a³-16b³
5.(a+b)(a² -ab+b²)-(a+b)^3
=a³+b³-a³-3a²b-3ab²-b³
=-3a²b-3ab²
6.(1/2m-1/3)(1/4m²+1/6²+1/9)=题目不对
7.(a+b)(a²-ab+b²)(a-b)(a²+ab+b²)
=(a³+b³)(a³-b³)
=a^6-b^6
8.ab(c²-d²)-(a²-b²)cd=(ac+bd)(bc-ad)
9.x²-y²+ax+dy不行吧
10.2x²+4xy+2y²-8z²
=2[(x²+2xy+y²)-4z²]
=2[(x+y)²-4z²]
=2（x+y+2z)(x+y-2z)

追问

我错了 第六题是(1/2m-1/3)(1/4m²+1/6m+1/9)

追答

(1/2m-1/3)(1/4m²+1/6m+1/9)=1/8m^3-1/27

Answer 2

1.(3x+2y)(9x²-6xy+4y²)=27x^3+8y^3

2.(2a+1-b)² -(a-b)(a+2b) =3a^2+3b^2-5ab+4a-2b+1

3.(2x-3)(4x² +6xy+9)=8x^3+27

4.(a-4b)(1/4a² +4b² +ab)=分母搞不清
5.(a+b)(a² -ab+b²)-(a+b)^3=-3a^b-3ab^2
6.(1/2m-1/3)(1/4m²+1/6²+1/9)=题目不对
7.(a+b)(a²-ab+b²)(a-b)(a²+ab+b²)=a^6-b^6
8.ab(c²-d²)-(a²-b²)cd=(ac+bd)(bc-ad)
9.x²-y²+ax+dy不行吧
10.2x²+4xy+2y²-8z²=2（x+y-2z)(x+y-2z)

Answer 3

如此简单。。。。。。。。

Answer 4