1) 12a²b³+3a³b²+16b²-a²=
=3a²b²(4b+a)+(4b-a)(4b+a)=
=(4b+a)×(3a²b²+4b-a)
2) 49c²-14c+1-21ac+3a=
= (7c-1)²-3a(7c-1)=(7c-1)(7c-1-3a)
3) ax²+ay²+x⁴+2x²y²+y⁴=
=a(x²+y²)+(x²+y²)²=(x²+y²)(x²+y²+a)
4) 27c³-d³+9c²+3cd+d²=
=(3c-d)(9c²+3cd+d²)+9c²+3cd+d²=
=(c9c²+3cd+d²)(3c-d+1)
5) b³-2b²-2b+1=
=b³+1-2b²-2b=(b+1)(b²-b+1)-2b(b+1)=
=(b+1)(b²-b+1-2b)=(b+1)(b²-3b+1)=
1) 12a²b³+3a³b²+16b²-a²=
=3a²b²(4b+a)+(4b-a)(4b+a)=
=(4b+a)×(3a²b²+4b-a)
2) 49c²-14c+1-21ac+3a=
= (7c-1)²-3a(7c-1)=(7c-1)(7c-1-3a)
3) ax²+ay²+x⁴+2x²y²+y⁴=
=a(x²+y²)+(x²+y²)²=(x²+y²)(x²+y²+a)
4) 27c³-d³+9c²+3cd+d²=
=(3c-d)(9c²+3cd+d²)+9c²+3cd+d²=
=(c9c²+3cd+d²)(3c-d+1)
5) b³-2b²-2b+1=
=b³+1-2b²-2b=(b+1)(b²-b+1)-2b(b+1)=
=(b+1)(b²-b+1-2b)=(b+1)(b²-3b+1)=