(1)8a3b2-12ab3c+6a3b2c
(2)8a(x-a)+4b(a-x)-6c(x-a)
(3)-x5y3+x3y5
(4)4(a-b)2-16(a+b)2
(5)-8ax2+16axy-8ay2
(6)m2+2n-mn-2m
(7)a2-4a+4-c2
(8)(a2+1)2-4a2
(9)(x+3y)2+(2x+6y)(3y-4x)+(4x-3y)2
(10)a4-6a2-27.
(1)8a3b2-12ab3c+6a3b2c(2)8a(x-a)+4b(a-x)-6c(x-a)(3)-x5y3+x3y5(4)4(a-b)2-16(a+b)2(5)
答案:2 悬赏:30 手机版
解决时间 2021-01-25 14:25
- 提问者网友:回忆在搜索
- 2021-01-24 15:33
最佳答案
- 五星知识达人网友:不甚了了
- 2020-02-25 17:26
解:(1)8a3b2-12ab3c+6a3b2c
=2ab2(4a2-6bc+3a2c);
(2)8a(x-a)+4b(a-x)-6c(x-a)
=2(x-a)(4a-2b-3c);
(3)-x5y3+x3y5
=x3y3(-x2+y2);
(4)4(a-b)2-16(a+b)2
=[2(a-b)+4(a+b)][2(a-b)-4(a+b)]
=(6a+2b)(-2a-6b)
=-4(3a+b)(a+3b);
(5)-8ax2+16axy-8ay2
=-8a(x2-2xy+y2)
=-8a(x-y)2;
(6)m2+2n-mn-2m
=m2-mn+2n-2m
=m(m-n)-2(m-n)
=(m-2)(m-n);
(7)a2-4a+4-c2
=(a-2)2-c 2,
=(a-2+c)(a-2-c);
(8)(a2+1)2-4a2
=(a2+1+2a)(a2+1-2a)
=(a+1) 2(a-1) 2;
(9)(x+3y)2+(2x+6y)(3y-4x)+(4x-3y)2
=(x+3y)2+2(x+3y)(3y-4x)+(3y-4x)2
=(x+3y+3y-4x)2,
=9(2y-x)2;
(10)a4-6a2-27
=(a2-9)(a2+3)
=(a+3)(a-3)(a2+3).解析分析:(1)直接提取公因式2ab2得出
=2ab2(4a2-6bc+3a2c);
(2)8a(x-a)+4b(a-x)-6c(x-a)
=2(x-a)(4a-2b-3c);
(3)-x5y3+x3y5
=x3y3(-x2+y2);
(4)4(a-b)2-16(a+b)2
=[2(a-b)+4(a+b)][2(a-b)-4(a+b)]
=(6a+2b)(-2a-6b)
=-4(3a+b)(a+3b);
(5)-8ax2+16axy-8ay2
=-8a(x2-2xy+y2)
=-8a(x-y)2;
(6)m2+2n-mn-2m
=m2-mn+2n-2m
=m(m-n)-2(m-n)
=(m-2)(m-n);
(7)a2-4a+4-c2
=(a-2)2-c 2,
=(a-2+c)(a-2-c);
(8)(a2+1)2-4a2
=(a2+1+2a)(a2+1-2a)
=(a+1) 2(a-1) 2;
(9)(x+3y)2+(2x+6y)(3y-4x)+(4x-3y)2
=(x+3y)2+2(x+3y)(3y-4x)+(3y-4x)2
=(x+3y+3y-4x)2,
=9(2y-x)2;
(10)a4-6a2-27
=(a2-9)(a2+3)
=(a+3)(a-3)(a2+3).解析分析:(1)直接提取公因式2ab2得出
全部回答
- 1楼网友:煞尾
- 2020-08-02 21:21
好好学习下
我要举报
如以上问答信息为低俗、色情、不良、暴力、侵权、涉及违法等信息,可以点下面链接进行举报!
大家都在看
推荐资讯