1...3a^2(x-y)-27(x-y)b^22...-4a^3 b^4+16a^2 b^5-16ab^63...a^2-(b^2+c^2-2bc)4...(x+2)(x+4)+x^2-45.9m^2-6m+2n-n^2
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/16 14:23:57
1...3a^2(x-y)-27(x-y)b^22...-4a^3 b^4+16a^2 b^5-16ab^63...a^2-(b^2+c^2-2bc)4...(x+2)(x+4)+x^2-45.9m^2-6m+2n-n^2
1...3a^2(x-y)-27(x-y)b^2
2...-4a^3 b^4+16a^2 b^5-16ab^6
3...a^2-(b^2+c^2-2bc)
4...(x+2)(x+4)+x^2-4
5.9m^2-6m+2n-n^2
1...3a^2(x-y)-27(x-y)b^22...-4a^3 b^4+16a^2 b^5-16ab^63...a^2-(b^2+c^2-2bc)4...(x+2)(x+4)+x^2-45.9m^2-6m+2n-n^2
1...3a^2(x-y)-27(x-y)b^2
=3(x-y)[a^2-(3b)^2]
=3(x-y)(a+3b)(a-3b)
2...-4a^3 b^4+16a^2 b^5-16ab^6
=-4ab^4(a^2-4ab+4b^2)
=-4ab^4(a-2b)^2
3...a^2-(b^2+c^2-2bc)
=a^2-(b-c)^2
=(a+b-c)(a-b+c)
4...(x+2)(x+4)+x^2-4
=(x+2)(x+4)+(x+2)(x-2)
=(x+2)(x+4+x-2)
=(x+2)(2x+2)
=2(x+1)(x+2)
5.9m^2-6m+2n-n^2
=(3m)^2-n^2-2(3m-n)
=(3m+n)(3m-n)-2(3m-n)
=(3m-n)(3m+n-2)
3(x-y)(a-3b)(a+3b),-4ab^4(a-2b)^2,(a-b+c)(a+b-c),2(x+2)(x+1)这几个都很一般就不写步骤了。
最后这个要拆添个常数项稍微麻烦点。。=9m^2-6m-3+3+2n-n^2=3(m-1)(3m+1)-(n-3)(n+1)
3(x-y)(a+3b)(a-3b)
-4ab^4(a-2b)^2
(a-b+c)(a+b-c)
2(x+1)(x+2)
3(m-n)(3m+n-3)
3a^2(x-y)-27(x-y)b^2
=3(x-y)(a^2-9b^2)
=3(x-y)(a-3b)(a+3b)
-4a^3 b^4+16a^2 b^5-16ab^6
=-4a b^4(a^2-4a b+4b^2)
=-4a b^4(a-2b)^2
a^2-(b^2+c^2-2bc)
=a^2-(b-c)^2
=(a+b-c)(a...
全部展开
3a^2(x-y)-27(x-y)b^2
=3(x-y)(a^2-9b^2)
=3(x-y)(a-3b)(a+3b)
-4a^3 b^4+16a^2 b^5-16ab^6
=-4a b^4(a^2-4a b+4b^2)
=-4a b^4(a-2b)^2
a^2-(b^2+c^2-2bc)
=a^2-(b-c)^2
=(a+b-c)(a-b+c)
(x+2)(x+4)+x^2-4
=(x+2)(x+4)+(x+2)(x-2)
=(x+2)[(x+4)+(x-2)]
=(x+2)(x+4+x-2)
=(x+2)(2x+2)
=2(x+2)(x+1)
9m^2-6m+2n-n^2
=9m^2-6m+1+2n-n^2-1
=(3m-1)^2-(n^2-2n+1)
=(3m-1)^2-(n-1)^2
=[(3m-1)-(n-1)][(3m-1)+(n-1)]
=(3m-1-n+1)(3m-1+n-1)
=(3m-n)(3m+n-2)
收起