$解:(1)原式=m²-2×3m+3²$ $=(m-3)²$
$解:(2)原式=(x+y)²+2(x+y)+1²$ $=(x+y+1)²$
$解:(3)原式=3x(1-4x²)$ $=3x(1+2x)(1-2x)$
$解:(4)原式=(x-y)(9a²-4b²)$ $=(x-y)[(3a)²-(2b)²]$ $=(x-y)(3a+2b)(3a-2b)$
$解:(1)原式=x²-8x+12+4$ $=x²-8x+16$ $=(x-4)²$
$解:(2)原式=(a²+1)²-(2a)²$ $=(a²+2a+1)(a²-2a+1)$ $=(a+1)²(a-1)².$
$解:当x=m时,m²+2m+n²=-1,$ $则(m+1)²+n²=0,$ $∴ m+1=0,n=0.$ $∴ m=-1,n=0.$ $当x=-m时,x²+2x+n²=3.$
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