2个回答
展开全部
1)原式=(x^2-5x+25/4)+3-25/4
=(x-5/2)^2-13/4
=(x-5/2-根号13/2)(x-5/2+根号13/2)
2)原式=(x-根号2)^2-5
=(x-根号2-根号5)(x-根号2+根号5)
3)原式=3x²+4xy-y²
=3(x²+ xy×4/3 - y²×1/3)
=3[(x²+ 2×2/3 ×xy +4/9y²) - y²/3- 4/9y²]
=3[(x+2/3y)² - 7/9 y²]
=3(x+2/3y +√7/3y)(x+2/3y - √7/3y)
=3[x+(2+√7)/3y][x+(2-√7)/3y]
4)原式=(x^2-2x-3)(x^2-2x-4)
=(x+1)(x-3)[(x-1)^2-5]
=(x+1)(x-3)(x-1-根号5)(x-1+根号5)
=(x-5/2)^2-13/4
=(x-5/2-根号13/2)(x-5/2+根号13/2)
2)原式=(x-根号2)^2-5
=(x-根号2-根号5)(x-根号2+根号5)
3)原式=3x²+4xy-y²
=3(x²+ xy×4/3 - y²×1/3)
=3[(x²+ 2×2/3 ×xy +4/9y²) - y²/3- 4/9y²]
=3[(x+2/3y)² - 7/9 y²]
=3(x+2/3y +√7/3y)(x+2/3y - √7/3y)
=3[x+(2+√7)/3y][x+(2-√7)/3y]
4)原式=(x^2-2x-3)(x^2-2x-4)
=(x+1)(x-3)[(x-1)^2-5]
=(x+1)(x-3)(x-1-根号5)(x-1+根号5)
追问
分解因式
追答
已解过
已赞过
已踩过<
评论
收起
你对这个回答的评价是?
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询