(1)把多项式-3x^2-6x+12分解因式
原式=-3(x^2+2x+1)+15
=-3(x+1)^2+15
=-3(x+1+√5)(x+1-√5 )
(3)先化简,再求值:x(x-y)-y(y-x)+(x-y)^2,其中x=-1,y=2
x(x-y)-y(y-x)+(x-y)^2
=(x-y)2x
=(-1-2)*2*(-1)
=6
(4)利用因式分解说明3^200 -4*3^199 +10*3^198 能被7整除.
3^200-4*3^199+10*3^198
=3^198(9-12+10)
=3^198*7
3^198*7 含有因数7,所以能被7整除.