把下列各式分解因式:
(1)$x^2+3x+2$;
(2)$x^2-7x+6$;
(3)$x^2-4x-21$;
(4)$m^2+7m-18$;
(5)$x^2+4x+3$;
(6)$a^2+7a+10$;
(7)$y^2-7y+12$;
(8)$q^2-6q+8$;
(9)$x^2+x-20$;
(10)$x^2+2x-15$;
(11)$p^2-5p-36$;
(12)$t^2-2t-8$;
(13)$a^2x^2+7ax-8$;
(14)$a^2-9ab+14b^2$;
(15)$x^2+11xy+18y^2$;
(16)$x^4+6x^2+8$;
(17)$(a+b)^2-4(a+b)+3$;
(18)$x^2-3xy+2y^2$;
(19)$x^4-3x^3-28x^2$;
(20)$x^4-x^2-20$。
(1)$x^2+3x+2$;
(2)$x^2-7x+6$;
(3)$x^2-4x-21$;
(4)$m^2+7m-18$;
(5)$x^2+4x+3$;
(6)$a^2+7a+10$;
(7)$y^2-7y+12$;
(8)$q^2-6q+8$;
(9)$x^2+x-20$;
(10)$x^2+2x-15$;
(11)$p^2-5p-36$;
(12)$t^2-2t-8$;
(13)$a^2x^2+7ax-8$;
(14)$a^2-9ab+14b^2$;
(15)$x^2+11xy+18y^2$;
(16)$x^4+6x^2+8$;
(17)$(a+b)^2-4(a+b)+3$;
(18)$x^2-3xy+2y^2$;
(19)$x^4-3x^3-28x^2$;
(20)$x^4-x^2-20$。
答案:(1)$(x+1)(x+2)$
(2)$(x-1)(x-6)$
(3)$(x+3)(x-7)$
(4)$(m-2)(m+9)$
(5)$(x+1)(x+3)$
(6)$(a+2)(a+5)$
(7)$(y-3)(y-4)$
(8)$(q-2)(q-4)$
(9)$(x-4)(x+5)$
(10)$(x-3)(x+5)$
(11)$(p+4)(p-9)$
(12)$(t+2)(t-4)$
(13)$(ax-1)(ax+8)$
(14)$(a-2b)(a-7b)$
(15)$(x+2y)(x+9y)$
(16)$(x^2+4)(x^2+2)$
(17)$(a+b-1)(a+b-3)$
(18)$(x-y)(x-2y)$
(19)$x^2(x+4)(x-7)$
(20)$(x^2+4)(x+\sqrt{5})(x-\sqrt{5})$
(2)$(x-1)(x-6)$
(3)$(x+3)(x-7)$
(4)$(m-2)(m+9)$
(5)$(x+1)(x+3)$
(6)$(a+2)(a+5)$
(7)$(y-3)(y-4)$
(8)$(q-2)(q-4)$
(9)$(x-4)(x+5)$
(10)$(x-3)(x+5)$
(11)$(p+4)(p-9)$
(12)$(t+2)(t-4)$
(13)$(ax-1)(ax+8)$
(14)$(a-2b)(a-7b)$
(15)$(x+2y)(x+9y)$
(16)$(x^2+4)(x^2+2)$
(17)$(a+b-1)(a+b-3)$
(18)$(x-y)(x-2y)$
(19)$x^2(x+4)(x-7)$
(20)$(x^2+4)(x+\sqrt{5})(x-\sqrt{5})$