Question

几题分解因式

(1）(a^2+1)^2-4a^2
(2)2a(a-b)+4a(2a+3b)
(3)1/2ax^2-8ay^2
(4)9x^2-y^2-4y-4
(5)(x-2y)^2-8(x-2y-2)

谢了。不一定要全部答出来；不过要把题号标好。蟹蟹。

Answer 1

(1)原式=a^4+2a^2+1-4a^2=a^4-2a^2+1=(a^2-1)^2
(2)原式=2a^2-2ab+8a^2+12ab=10a^2+10ab=10a(a+b)
(3)原式=1/2a(x^2-16y^2)=1/2a(x+4y)(x-4y)
(4)原式=9x^2-(y^2+4y+4)=9x^2-(y+2)^2=[3x+(y+2)][3x-(y+2)]
(5)原式=(x-2y)^2-8(x-2y)+16=[(x-2y)-4]^2

祝好！