分解因式(要有过程）-1+s^4-1+s^426xy+x^2+169y^2(x+y-1)^2-8(x+y-1)+1614(b-a)-1-49(a-b)^22x^2y-x^3-xy^2-a+2a^2-a^3(x^2+y^2)^2-4x^2y^2x^3z-4x^2yz+4xy^2z(x+2)(x+3)+x^2-4

Question

分解因式(要有过程） -1+s^4
-1+s^4
26xy+x^2 +169y^2
(x+y-1)^2-8(x+y-1)+16
14(b-a)-1-49(a-b)^2
2x^2y -x^3 -xy^2
-a+2a^2 -a^3
(x^2 +y^2)^2 -4x^2y^2
x^3z -4x^2yz +4xy^2z
(x+2)(x+3)+x^2 -4

Answer 1

26xy+x^2 +169y^2=(x+13y)^2
(x+y-1)^2-8(x+y-1)+16=(x+y-1-4)^2=(x+y-5)^2
14(b-a)-1-49(a-b)^2=-(7a-7b-1)^2
2x^2y -x^3 -xy^2=-x(x-y)^2
-a+2a^2 -a^3=-a(a-1)^2
(x^2 +y^2)^2 -4x^2y^2=(x^2+y^2-2xy)(x^2+y^2+2xy)=(x+y)^2(x-y)^2
x^3z -4x^2yz +4xy^2z=xz(x-2y)^2
(x+2)(x+3)+x^2 -4=2x^2+5x+2=(2x+1)(x+2)