几道因式分解的题!!!!!!!!!!!!明天就撤了!!!

来源:百度知道 编辑:UC知道 时间:2024/05/09 13:51:43
1/2(a^2+4)^2-8a^4

2a^2+7a-15

(a^2+2a)^2-47(a^2+2a)-48

-a^3+8

a^3+2a^2+2a+1

(X^2-x)^2-9x^2+9x+14

最后两道选答
x^2+xy-6y^2-x+7y-2

X^3-3x^2+4

能答几道是几道吧
那一楼和四楼谁对啊

1.1/2(a^2+4)^2-8a^4
=1/2[(a^2+4)^2-(4a^2)^2)
=1/2(a^2+4+4a^2)(a^2+4-4a^2)
=1/2(5a^2+4)(4-3a^2)
=1/2(5a^2+4)(2+√3a)(2-√3a)
2.2a^2+7a-15
=(2a-3)(a+5)
3.(a^2+2a)^2-47(a^2+2a)-48
=(a^2+2a-48)(a^2+2a+1)
=(a+8)(a-6)(a+1)^2
4.-a^3+8
=(2-a)(4+2a+a^2)
5.a^3+2a^2+2a+1
=(a^3+1)+2a(a+1)
=(a+1)(a^2-a+1)+2a(a+1)
=(a+1)(a^2-a+1+2a)
=(a+1)(a^2+a+1)
6.(X^2-x)^2-9x^2+9x+14
=(x^2-x)^2-9(x^2-x)+14
=(x^2-x-2)(x^2-x-7)
=(x-2)(x+1)[x-(1+√29)/2][x-(1-√29)/2]
7.x^2+xy-6y^2-x+7y-2
=(x+3y)(x-2y)-2x+4y+x+3y-2
=(x+3y-2)(x-2y)+x+3y-2
=(x+3y-2)(x-2y+1)
8.X^3-3x^2+4
=x^3+1-3(x^2-1)
=(x+1)(x^2-x+1)-3(x+1)(x-1)
=(x+1)(x^2-x+1-3x+3)
=(x+1)(x^2-4x+4)
=(x+1)(x-2)^2

1/2(a^2+4)^2-8a^4
=(a^4+16+8a^2-16a^4)/2=(16+8a^2-15a^4)/2=(4+5a)(4-3a)/2
2a^2+7a-15
=(2a-3)(a+5)

(a^2+2a)^2-47(a^2+2a)-48
=[(a^2+2a)-48][(a^2+2a)+1]=(a+8)(a-6)(a