2\
a3+4a2-7a-10
= a3-2a2+6a2-12a+5a-10
=a2(a-2) +6a(a-2) +5(a-2)
= (a-2)(a2+6a+5)
= (a-2)(a+1)(a+5)
4\
(a2+a)2+4(a2+a)-12
= (a2+a)2+4(a2+a)+4-16
= (a2+a+2)2-16
= (a2+a+6)(a2+a-2)
5/
(x2+x+1)(x2+x+2)-12
đặt x2+x+1=a
⇒ a(a+1)-12
= a2+a-12
= a2-3a+4a-12
= a(a-3)+4(a-3)
= (a-3)(a+4)
⇒ (x2+x-2)(x2+x+5)
6\
x8+x+1
= x8+x7+x6-x7-x6-x5+x5+x4+x3-x4-x3-x2+x2+x+1
= x6(x2+x+1) - x5(x2+x+1) +x3(x2+x+1)-x2(x2+x+1)+(x2+x+1)
= (x2+x+1)(x6-x5+x3+x2+1)
7\
x10+x5+1
= x10+x9+x8-x9-x8-x7+x7+x6+x5-x6-x5-x4+x5+x4+x3-x3-x2-x+x2+x+1
= x8(x2+x+1)-x7(x2+x+1)+x5(x2+x+1)-x4(x2+x+1)+x3(x2+x+1)-x(x2+x+1)+(x2+x+1)
= (x2+x+1)(x8-x7+x5-x4+x3-x+1)