【分解因式,需要过程】a²x²+16ax+64a²x²+16ax+64a^4-8a²b²+16b^4（a+y）²-14（a+y）+49x²y-2xy²+y³9x²-（2y+z）²

a²x²+16ax+64
=(ax)²+2*8*ax+8²
=(ax+8)²
a^4-8a²b²+16b^4
=(a²)²+2*a²*4b²+(4b²)²
=(a²-4b²)²
=(a+2b)²(a-2b)²
（a+y）²-14（a+y）+49
=(a+y+7)²
x²y-2xy²+y³
=y(x²-2xy+y²)
=y(x-y)²
9x²-（2y+z）²
=(3x+2y+z)(3x-2y-z)

a²x²+16ax+64=(ax+8)²
a^4-8a²b²+16b^4=（a²-4b²)²=(a+2b)²(a-2b)²
（a+y）²-14（a+y）+49=[(a+y)-7]²=(a+y-7)²
x²y-2xy²+y³=y(x²-2xy+y²)=y(x-y)²
9x²-（2y+z）²=[3x+(2y+z)][3x-(2y+z)]=(3x+2y+z)(3x-2y-z)