数学因式分解题~~~速度!

来源:百度知道 编辑:UC知道 时间:2024/06/06 20:22:38
1. a^4+a^3+2.25a^2+a+1-b^2

2. 6x^4+7x^3y+5x^2y^2-xy^3-2y^4

要过程 的 哦

1:原式=a^4+a^3+1/4a^2+2a^2+a+1-b^2
=a^2(a^2+a+1/4)+2a(a+1)+1-b^2
=[a(a+1/2)+1]^2-b^2
=[a(a+1/2)+1+b][a(a+1/2)+1-b]
2:原式=6x^4+x^3y-2x^2y^2+6x^3y+x^2y^2-2xy^3+6x^2y^2+xy^3-2y^4
=x^2(6x^2+xy_2y^2)+xy(6x^2+xy_2y^2)+y^2(6x^2+xy_2y^2)
=(x^2+xy+y^2)(2x-y)(3x+2y)

1.原式=a^4+2(0.5a+1)a^2+(0.5a+1)^2-b^2
=(a^2+0.5a+1-b)(a^2+0.5a+1+b)
2.原式=(6x^4+7x^3y+2x^2y^2)+(3x^2y^2-xy^3-2y^4)
=x^2(2x+y)(3x+2y)+y^2(3x+2y)(x-y)
=(3x+2y)(2x^3+x^2y+xy^2-y^3)